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Finding the Fourth Proportional to 5,710.50, 7,880.49 and 3,724.43

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Solution

The fourth proportional to 5,710.50, 7,880.49 and 3,724.43 is: 5,139.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.50 : 7,880.49 = 3,724.43 : x
  2. Step 2: Convert to fraction form
    5,710.50/7,880.49 = 3,724.43/x
  3. Step 3: Cross multiply
    5,710.50x = 7,880.49 × 3,724.43
  4. Step 4: Simplify right side
    5,710.50x = 29,350,338.30
  5. Step 5: Solve for x
    x = 29,350,338.30/5,710.50
  6. Step 6: Final answer
    x = 5,139.71

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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.