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Finding the Fourth Proportional to 12,787, 17,646.78 and 7,198.36

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Solution

The fourth proportional to 12,787, 17,646.78 and 7,198.36 is: 9,934.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787 : 17,646.78 = 7,198.36 : x
  2. Step 2: Convert to fraction form
    12,787/17,646.78 = 7,198.36/x
  3. Step 3: Cross multiply
    12,787x = 17,646.78 × 7,198.36
  4. Step 4: Simplify right side
    12,787x = 127,027,875.28
  5. Step 5: Solve for x
    x = 127,027,875.28/12,787
  6. Step 6: Final answer
    x = 9,934.14

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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.