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Finding the Fourth Proportional to 5,761.92, 7,940.40 and 3,990.24

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Solution

The fourth proportional to 5,761.92, 7,940.40 and 3,990.24 is: 5,498.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.92 : 7,940.40 = 3,990.24 : x
  2. Step 2: Convert to fraction form
    5,761.92/7,940.40 = 3,990.24/x
  3. Step 3: Cross multiply
    5,761.92x = 7,940.40 × 3,990.24
  4. Step 4: Simplify right side
    5,761.92x = 31,684,101.70
  5. Step 5: Solve for x
    x = 31,684,101.70/5,761.92
  6. Step 6: Final answer
    x = 5,498.88

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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.