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Finding the Fourth Proportional to 3,179, 4,387.02 and 1,781.78

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Solution

The fourth proportional to 3,179, 4,387.02 and 1,781.78 is: 2,458.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179 : 4,387.02 = 1,781.78 : x
  2. Step 2: Convert to fraction form
    3,179/4,387.02 = 1,781.78/x
  3. Step 3: Cross multiply
    3,179x = 4,387.02 × 1,781.78
  4. Step 4: Simplify right side
    3,179x = 7,816,704.50
  5. Step 5: Solve for x
    x = 7,816,704.50/3,179
  6. Step 6: Final answer
    x = 2,458.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.