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Finding the Fourth Proportional to 2,742.92, 4,113.60 and 987.64

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Solution

The fourth proportional to 2,742.92, 4,113.60 and 987.64 is: 1,481.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.92 : 4,113.60 = 987.64 : x
  2. Step 2: Convert to fraction form
    2,742.92/4,113.60 = 987.64/x
  3. Step 3: Cross multiply
    2,742.92x = 4,113.60 × 987.64
  4. Step 4: Simplify right side
    2,742.92x = 4,062,755.90
  5. Step 5: Solve for x
    x = 4,062,755.90/2,742.92
  6. Step 6: Final answer
    x = 1,481.18

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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.