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Finding the Fourth Proportional to 10,691.74, 14,754 and 6,715

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Solution

The fourth proportional to 10,691.74, 14,754 and 6,715 is: 9,266.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.74 : 14,754 = 6,715 : x
  2. Step 2: Convert to fraction form
    10,691.74/14,754 = 6,715/x
  3. Step 3: Cross multiply
    10,691.74x = 14,754 × 6,715
  4. Step 4: Simplify right side
    10,691.74x = 99,073,110
  5. Step 5: Solve for x
    x = 99,073,110/10,691.74
  6. Step 6: Final answer
    x = 9,266.32

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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.