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Finding the Fourth Proportional to 2,448.15, 3,672.39 and 987.32

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Solution

The fourth proportional to 2,448.15, 3,672.39 and 987.32 is: 1,481.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.15 : 3,672.39 = 987.32 : x
  2. Step 2: Convert to fraction form
    2,448.15/3,672.39 = 987.32/x
  3. Step 3: Cross multiply
    2,448.15x = 3,672.39 × 987.32
  4. Step 4: Simplify right side
    2,448.15x = 3,625,805.73
  5. Step 5: Solve for x
    x = 3,625,805.73/2,448.15
  6. Step 6: Final answer
    x = 1,481.04

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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.