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Finding the Fourth Proportional to 5,438.43, 7,505.02 and 3,081.02

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Solution

The fourth proportional to 5,438.43, 7,505.02 and 3,081.02 is: 4,251.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.43 : 7,505.02 = 3,081.02 : x
  2. Step 2: Convert to fraction form
    5,438.43/7,505.02 = 3,081.02/x
  3. Step 3: Cross multiply
    5,438.43x = 7,505.02 × 3,081.02
  4. Step 4: Simplify right side
    5,438.43x = 23,123,116.72
  5. Step 5: Solve for x
    x = 23,123,116.72/5,438.43
  6. Step 6: Final answer
    x = 4,251.80

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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.