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Finding the Fourth Proportional to 3,178.92, 4,768.38 and 987.42

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Solution

The fourth proportional to 3,178.92, 4,768.38 and 987.42 is: 1,481.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.92 : 4,768.38 = 987.42 : x
  2. Step 2: Convert to fraction form
    3,178.92/4,768.38 = 987.42/x
  3. Step 3: Cross multiply
    3,178.92x = 4,768.38 × 987.42
  4. Step 4: Simplify right side
    3,178.92x = 4,708,393.78
  5. Step 5: Solve for x
    x = 4,708,393.78/3,178.92
  6. Step 6: Final answer
    x = 1,481.13

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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.