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Finding the Fourth Proportional to 2,358.52, 3,537.84 and 819.52

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Solution

The fourth proportional to 2,358.52, 3,537.84 and 819.52 is: 1,229.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.52 : 3,537.84 = 819.52 : x
  2. Step 2: Convert to fraction form
    2,358.52/3,537.84 = 819.52/x
  3. Step 3: Cross multiply
    2,358.52x = 3,537.84 × 819.52
  4. Step 4: Simplify right side
    2,358.52x = 2,899,330.64
  5. Step 5: Solve for x
    x = 2,899,330.64/2,358.52
  6. Step 6: Final answer
    x = 1,229.30

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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.