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Finding the Fourth Proportional to 2,505.43, 3,757.42 and 750.36

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Solution

The fourth proportional to 2,505.43, 3,757.42 and 750.36 is: 1,125.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.43 : 3,757.42 = 750.36 : x
  2. Step 2: Convert to fraction form
    2,505.43/3,757.42 = 750.36/x
  3. Step 3: Cross multiply
    2,505.43x = 3,757.42 × 750.36
  4. Step 4: Simplify right side
    2,505.43x = 2,819,432.70
  5. Step 5: Solve for x
    x = 2,819,432.70/2,505.43
  6. Step 6: Final answer
    x = 1,125.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.