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Finding the Fourth Proportional to 11,471.77, 15,832.12 and 6,691.34

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Solution

The fourth proportional to 11,471.77, 15,832.12 and 6,691.34 is: 9,234.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.77 : 15,832.12 = 6,691.34 : x
  2. Step 2: Convert to fraction form
    11,471.77/15,832.12 = 6,691.34/x
  3. Step 3: Cross multiply
    11,471.77x = 15,832.12 × 6,691.34
  4. Step 4: Simplify right side
    11,471.77x = 105,938,064.38
  5. Step 5: Solve for x
    x = 105,938,064.38/11,471.77
  6. Step 6: Final answer
    x = 9,234.68

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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.