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Finding the Fourth Proportional to 12,577.69, 17,357.21 and 6,988.69

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Solution

The fourth proportional to 12,577.69, 17,357.21 and 6,988.69 is: 9,644.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.69 : 17,357.21 = 6,988.69 : x
  2. Step 2: Convert to fraction form
    12,577.69/17,357.21 = 6,988.69/x
  3. Step 3: Cross multiply
    12,577.69x = 17,357.21 × 6,988.69
  4. Step 4: Simplify right side
    12,577.69x = 121,304,134.03
  5. Step 5: Solve for x
    x = 121,304,134.03/12,577.69
  6. Step 6: Final answer
    x = 9,644.39

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Half scale
Find fourth proportional to 25,155.38, 34,714.43 and 13,977.38
Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.