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Finding the Fourth Proportional to 5,691.78, 8,541.90 and 4,306.86

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Solution

The fourth proportional to 5,691.78, 8,541.90 and 4,306.86 is: 6,463.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.78 : 8,541.90 = 4,306.86 : x
  2. Step 2: Convert to fraction form
    5,691.78/8,541.90 = 4,306.86/x
  3. Step 3: Cross multiply
    5,691.78x = 8,541.90 × 4,306.86
  4. Step 4: Simplify right side
    5,691.78x = 36,788,767.43
  5. Step 5: Solve for x
    x = 36,788,767.43/5,691.78
  6. Step 6: Final answer
    x = 6,463.49

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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.