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Finding the Fourth Proportional to 12,710.93, 17,542.17 and 7,405.63

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Solution

The fourth proportional to 12,710.93, 17,542.17 and 7,405.63 is: 10,220.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,710.93 : 17,542.17 = 7,405.63 : x
  2. Step 2: Convert to fraction form
    12,710.93/17,542.17 = 7,405.63/x
  3. Step 3: Cross multiply
    12,710.93x = 17,542.17 × 7,405.63
  4. Step 4: Simplify right side
    12,710.93x = 129,910,776.56
  5. Step 5: Solve for x
    x = 129,910,776.56/12,710.93
  6. Step 6: Final answer
    x = 10,220.40

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Half scale
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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.