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Finding the Fourth Proportional to 3,287.90, 4,930.05 and 1,337.90

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Solution

The fourth proportional to 3,287.90, 4,930.05 and 1,337.90 is: 2,006.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.90 : 4,930.05 = 1,337.90 : x
  2. Step 2: Convert to fraction form
    3,287.90/4,930.05 = 1,337.90/x
  3. Step 3: Cross multiply
    3,287.90x = 4,930.05 × 1,337.90
  4. Step 4: Simplify right side
    3,287.90x = 6,595,913.90
  5. Step 5: Solve for x
    x = 6,595,913.90/3,287.90
  6. Step 6: Final answer
    x = 2,006.12

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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.