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Finding the Fourth Proportional to 5,711.97, 7,884.90 and 4,139.76

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Solution

The fourth proportional to 5,711.97, 7,884.90 and 4,139.76 is: 5,714.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.97 : 7,884.90 = 4,139.76 : x
  2. Step 2: Convert to fraction form
    5,711.97/7,884.90 = 4,139.76/x
  3. Step 3: Cross multiply
    5,711.97x = 7,884.90 × 4,139.76
  4. Step 4: Simplify right side
    5,711.97x = 32,641,593.62
  5. Step 5: Solve for x
    x = 32,641,593.62/5,711.97
  6. Step 6: Final answer
    x = 5,714.59

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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.