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Finding the Fourth Proportional to 10,666.31, 15,999.74 and 8,689.78

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Solution

The fourth proportional to 10,666.31, 15,999.74 and 8,689.78 is: 13,034.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.31 : 15,999.74 = 8,689.78 : x
  2. Step 2: Convert to fraction form
    10,666.31/15,999.74 = 8,689.78/x
  3. Step 3: Cross multiply
    10,666.31x = 15,999.74 × 8,689.78
  4. Step 4: Simplify right side
    10,666.31x = 139,034,097.21
  5. Step 5: Solve for x
    x = 139,034,097.21/10,666.31
  6. Step 6: Final answer
    x = 13,034.88

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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.