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Finding the Fourth Proportional to 3,788.64, 5,683.14 and 1,191.78

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Solution

The fourth proportional to 3,788.64, 5,683.14 and 1,191.78 is: 1,787.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.64 : 5,683.14 = 1,191.78 : x
  2. Step 2: Convert to fraction form
    3,788.64/5,683.14 = 1,191.78/x
  3. Step 3: Cross multiply
    3,788.64x = 5,683.14 × 1,191.78
  4. Step 4: Simplify right side
    3,788.64x = 6,773,052.59
  5. Step 5: Solve for x
    x = 6,773,052.59/3,788.64
  6. Step 6: Final answer
    x = 1,787.73

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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.