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Finding the Fourth Proportional to 10,508.97, 15,716.98 and 9,347.13

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Solution

The fourth proportional to 10,508.97, 15,716.98 and 9,347.13 is: 13,979.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.97 : 15,716.98 = 9,347.13 : x
  2. Step 2: Convert to fraction form
    10,508.97/15,716.98 = 9,347.13/x
  3. Step 3: Cross multiply
    10,508.97x = 15,716.98 × 9,347.13
  4. Step 4: Simplify right side
    10,508.97x = 146,908,655.27
  5. Step 5: Solve for x
    x = 146,908,655.27/10,508.97
  6. Step 6: Final answer
    x = 13,979.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.