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Finding the Fourth Proportional to 10,937.42, 15,079.76 and 8,388.14

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Solution

The fourth proportional to 10,937.42, 15,079.76 and 8,388.14 is: 11,565.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937.42 : 15,079.76 = 8,388.14 : x
  2. Step 2: Convert to fraction form
    10,937.42/15,079.76 = 8,388.14/x
  3. Step 3: Cross multiply
    10,937.42x = 15,079.76 × 8,388.14
  4. Step 4: Simplify right side
    10,937.42x = 126,491,165.26
  5. Step 5: Solve for x
    x = 126,491,165.26/10,937.42
  6. Step 6: Final answer
    x = 11,565.00

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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.