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Finding the Fourth Proportional to 3,542.57, 5,313.70 and 945.52

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Solution

The fourth proportional to 3,542.57, 5,313.70 and 945.52 is: 1,418.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.57 : 5,313.70 = 945.52 : x
  2. Step 2: Convert to fraction form
    3,542.57/5,313.70 = 945.52/x
  3. Step 3: Cross multiply
    3,542.57x = 5,313.70 × 945.52
  4. Step 4: Simplify right side
    3,542.57x = 5,024,209.62
  5. Step 5: Solve for x
    x = 5,024,209.62/3,542.57
  6. Step 6: Final answer
    x = 1,418.24

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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.