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Finding the Fourth Proportional to 3,178.32, 4,767.48 and 987.27

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Solution

The fourth proportional to 3,178.32, 4,767.48 and 987.27 is: 1,480.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.32 : 4,767.48 = 987.27 : x
  2. Step 2: Convert to fraction form
    3,178.32/4,767.48 = 987.27/x
  3. Step 3: Cross multiply
    3,178.32x = 4,767.48 × 987.27
  4. Step 4: Simplify right side
    3,178.32x = 4,706,789.98
  5. Step 5: Solve for x
    x = 4,706,789.98/3,178.32
  6. Step 6: Final answer
    x = 1,480.91

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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.