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Finding the Fourth Proportional to 3,780.78, 5,671.16 and 1,591.04

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Solution

The fourth proportional to 3,780.78, 5,671.16 and 1,591.04 is: 2,386.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.78 : 5,671.16 = 1,591.04 : x
  2. Step 2: Convert to fraction form
    3,780.78/5,671.16 = 1,591.04/x
  3. Step 3: Cross multiply
    3,780.78x = 5,671.16 × 1,591.04
  4. Step 4: Simplify right side
    3,780.78x = 9,023,063.55
  5. Step 5: Solve for x
    x = 9,023,063.55/3,780.78
  6. Step 6: Final answer
    x = 2,386.56

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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.