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Finding the Fourth Proportional to 2,142.80, 3,213.68 and 987.44

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Solution

The fourth proportional to 2,142.80, 3,213.68 and 987.44 is: 1,480.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.80 : 3,213.68 = 987.44 : x
  2. Step 2: Convert to fraction form
    2,142.80/3,213.68 = 987.44/x
  3. Step 3: Cross multiply
    2,142.80x = 3,213.68 × 987.44
  4. Step 4: Simplify right side
    2,142.80x = 3,173,316.18
  5. Step 5: Solve for x
    x = 3,173,316.18/2,142.80
  6. Step 6: Final answer
    x = 1,480.92

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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.