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Finding the Fourth Proportional to 3,801.60, 5,691.60 and 2,930.40

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Solution

The fourth proportional to 3,801.60, 5,691.60 and 2,930.40 is: 4,387.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.60 : 5,691.60 = 2,930.40 : x
  2. Step 2: Convert to fraction form
    3,801.60/5,691.60 = 2,930.40/x
  3. Step 3: Cross multiply
    3,801.60x = 5,691.60 × 2,930.40
  4. Step 4: Simplify right side
    3,801.60x = 16,678,664.64
  5. Step 5: Solve for x
    x = 16,678,664.64/3,801.60
  6. Step 6: Final answer
    x = 4,387.28

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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.