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Finding the Fourth Proportional to 3,689.62, 5,542.54 and 2,229.64

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Solution

The fourth proportional to 3,689.62, 5,542.54 and 2,229.64 is: 3,349.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.62 : 5,542.54 = 2,229.64 : x
  2. Step 2: Convert to fraction form
    3,689.62/5,542.54 = 2,229.64/x
  3. Step 3: Cross multiply
    3,689.62x = 5,542.54 × 2,229.64
  4. Step 4: Simplify right side
    3,689.62x = 12,357,868.89
  5. Step 5: Solve for x
    x = 12,357,868.89/3,689.62
  6. Step 6: Final answer
    x = 3,349.36

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1.5x scale

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.