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Finding the Fourth Proportional to 2,345.39, 3,517.80 and 614.15

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Solution

The fourth proportional to 2,345.39, 3,517.80 and 614.15 is: 921.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.39 : 3,517.80 = 614.15 : x
  2. Step 2: Convert to fraction form
    2,345.39/3,517.80 = 614.15/x
  3. Step 3: Cross multiply
    2,345.39x = 3,517.80 × 614.15
  4. Step 4: Simplify right side
    2,345.39x = 2,160,439.28
  5. Step 5: Solve for x
    x = 2,160,439.28/2,345.39
  6. Step 6: Final answer
    x = 921.14

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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.