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Finding the Fourth Proportional to 2,504.76, 3,753.14 and 1,680

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Solution

The fourth proportional to 2,504.76, 3,753.14 and 1,680 is: 2,517.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.76 : 3,753.14 = 1,680 : x
  2. Step 2: Convert to fraction form
    2,504.76/3,753.14 = 1,680/x
  3. Step 3: Cross multiply
    2,504.76x = 3,753.14 × 1,680
  4. Step 4: Simplify right side
    2,504.76x = 6,305,275.20
  5. Step 5: Solve for x
    x = 6,305,275.20/2,504.76
  6. Step 6: Final answer
    x = 2,517.32

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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.