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Finding the Fourth Proportional to 2,630.34, 3,943.05 and 987.96

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Solution

The fourth proportional to 2,630.34, 3,943.05 and 987.96 is: 1,481.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.34 : 3,943.05 = 987.96 : x
  2. Step 2: Convert to fraction form
    2,630.34/3,943.05 = 987.96/x
  3. Step 3: Cross multiply
    2,630.34x = 3,943.05 × 987.96
  4. Step 4: Simplify right side
    2,630.34x = 3,895,575.68
  5. Step 5: Solve for x
    x = 3,895,575.68/2,630.34
  6. Step 6: Final answer
    x = 1,481.02

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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.