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Finding the Fourth Proportional to 5,646.39, 7,789.15 and 3,755.55

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Solution

The fourth proportional to 5,646.39, 7,789.15 and 3,755.55 is: 5,180.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.39 : 7,789.15 = 3,755.55 : x
  2. Step 2: Convert to fraction form
    5,646.39/7,789.15 = 3,755.55/x
  3. Step 3: Cross multiply
    5,646.39x = 7,789.15 × 3,755.55
  4. Step 4: Simplify right side
    5,646.39x = 29,252,517.77
  5. Step 5: Solve for x
    x = 29,252,517.77/5,646.39
  6. Step 6: Final answer
    x = 5,180.75

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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.