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Finding the Fourth Proportional to 5,877.80, 8,819.10 and 3,282.52

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Solution

The fourth proportional to 5,877.80, 8,819.10 and 3,282.52 is: 4,925.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.80 : 8,819.10 = 3,282.52 : x
  2. Step 2: Convert to fraction form
    5,877.80/8,819.10 = 3,282.52/x
  3. Step 3: Cross multiply
    5,877.80x = 8,819.10 × 3,282.52
  4. Step 4: Simplify right side
    5,877.80x = 28,948,872.13
  5. Step 5: Solve for x
    x = 28,948,872.13/5,877.80
  6. Step 6: Final answer
    x = 4,925.12

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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.