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Finding the Fourth Proportional to 3,784.74, 5,677.10 and 1,187.88

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Solution

The fourth proportional to 3,784.74, 5,677.10 and 1,187.88 is: 1,781.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.74 : 5,677.10 = 1,187.88 : x
  2. Step 2: Convert to fraction form
    3,784.74/5,677.10 = 1,187.88/x
  3. Step 3: Cross multiply
    3,784.74x = 5,677.10 × 1,187.88
  4. Step 4: Simplify right side
    3,784.74x = 6,743,713.55
  5. Step 5: Solve for x
    x = 6,743,713.55/3,784.74
  6. Step 6: Final answer
    x = 1,781.82

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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.