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Finding the Fourth Proportional to 1,230.62, 1,847.80 and 1,178.78

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Solution

The fourth proportional to 1,230.62, 1,847.80 and 1,178.78 is: 1,769.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.62 : 1,847.80 = 1,178.78 : x
  2. Step 2: Convert to fraction form
    1,230.62/1,847.80 = 1,178.78/x
  3. Step 3: Cross multiply
    1,230.62x = 1,847.80 × 1,178.78
  4. Step 4: Simplify right side
    1,230.62x = 2,178,149.68
  5. Step 5: Solve for x
    x = 2,178,149.68/1,230.62
  6. Step 6: Final answer
    x = 1,769.96

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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.