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Finding the Fourth Proportional to 3,144.90, 4,713 and 1,387.28

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Solution

The fourth proportional to 3,144.90, 4,713 and 1,387.28 is: 2,078.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.90 : 4,713 = 1,387.28 : x
  2. Step 2: Convert to fraction form
    3,144.90/4,713 = 1,387.28/x
  3. Step 3: Cross multiply
    3,144.90x = 4,713 × 1,387.28
  4. Step 4: Simplify right side
    3,144.90x = 6,538,227.08
  5. Step 5: Solve for x
    x = 6,538,227.08/3,144.90
  6. Step 6: Final answer
    x = 2,078.99

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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.