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Finding the Fourth Proportional to 1,680.38, 2,521 and 987.62

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Solution

The fourth proportional to 1,680.38, 2,521 and 987.62 is: 1,481.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.38 : 2,521 = 987.62 : x
  2. Step 2: Convert to fraction form
    1,680.38/2,521 = 987.62/x
  3. Step 3: Cross multiply
    1,680.38x = 2,521 × 987.62
  4. Step 4: Simplify right side
    1,680.38x = 2,489,790.02
  5. Step 5: Solve for x
    x = 2,489,790.02/1,680.38
  6. Step 6: Final answer
    x = 1,481.68

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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.