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Finding the Fourth Proportional to 3,174.60, 4,761.88 and 1,442

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Solution

The fourth proportional to 3,174.60, 4,761.88 and 1,442 is: 2,162.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.60 : 4,761.88 = 1,442 : x
  2. Step 2: Convert to fraction form
    3,174.60/4,761.88 = 1,442/x
  3. Step 3: Cross multiply
    3,174.60x = 4,761.88 × 1,442
  4. Step 4: Simplify right side
    3,174.60x = 6,866,630.96
  5. Step 5: Solve for x
    x = 6,866,630.96/3,174.60
  6. Step 6: Final answer
    x = 2,162.99

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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.