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Finding the Fourth Proportional to 3,854.32, 5,781.48 and 932.62

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Solution

The fourth proportional to 3,854.32, 5,781.48 and 932.62 is: 1,398.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.32 : 5,781.48 = 932.62 : x
  2. Step 2: Convert to fraction form
    3,854.32/5,781.48 = 932.62/x
  3. Step 3: Cross multiply
    3,854.32x = 5,781.48 × 932.62
  4. Step 4: Simplify right side
    3,854.32x = 5,391,923.88
  5. Step 5: Solve for x
    x = 5,391,923.88/3,854.32
  6. Step 6: Final answer
    x = 1,398.93

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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.