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Finding the Fourth Proportional to 2,001.32, 3,001.92 and 614.60

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Solution

The fourth proportional to 2,001.32, 3,001.92 and 614.60 is: 921.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.32 : 3,001.92 = 614.60 : x
  2. Step 2: Convert to fraction form
    2,001.32/3,001.92 = 614.60/x
  3. Step 3: Cross multiply
    2,001.32x = 3,001.92 × 614.60
  4. Step 4: Simplify right side
    2,001.32x = 1,844,980.03
  5. Step 5: Solve for x
    x = 1,844,980.03/2,001.32
  6. Step 6: Final answer
    x = 921.88

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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.