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Finding the Fourth Proportional to 3,187.76, 4,781.84 and 847.73

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Solution

The fourth proportional to 3,187.76, 4,781.84 and 847.73 is: 1,271.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.76 : 4,781.84 = 847.73 : x
  2. Step 2: Convert to fraction form
    3,187.76/4,781.84 = 847.73/x
  3. Step 3: Cross multiply
    3,187.76x = 4,781.84 × 847.73
  4. Step 4: Simplify right side
    3,187.76x = 4,053,687.43
  5. Step 5: Solve for x
    x = 4,053,687.43/3,187.76
  6. Step 6: Final answer
    x = 1,271.64

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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.