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Finding the Fourth Proportional to 5,068, 7,601.62 and 1,781.31

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Solution

The fourth proportional to 5,068, 7,601.62 and 1,781.31 is: 2,671.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,068 : 7,601.62 = 1,781.31 : x
  2. Step 2: Convert to fraction form
    5,068/7,601.62 = 1,781.31/x
  3. Step 3: Cross multiply
    5,068x = 7,601.62 × 1,781.31
  4. Step 4: Simplify right side
    5,068x = 13,540,841.72
  5. Step 5: Solve for x
    x = 13,540,841.72/5,068
  6. Step 6: Final answer
    x = 2,671.83

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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.