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Finding the Fourth Proportional to 3,787.49, 5,690.45 and 3,577.67

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Solution

The fourth proportional to 3,787.49, 5,690.45 and 3,577.67 is: 5,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.49 : 5,690.45 = 3,577.67 : x
  2. Step 2: Convert to fraction form
    3,787.49/5,690.45 = 3,577.67/x
  3. Step 3: Cross multiply
    3,787.49x = 5,690.45 × 3,577.67
  4. Step 4: Simplify right side
    3,787.49x = 20,358,505.91
  5. Step 5: Solve for x
    x = 20,358,505.91/3,787.49
  6. Step 6: Final answer
    x = 5,375.20

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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.