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Finding the Fourth Proportional to 3,787.04, 5,680.58 and 1,321.87

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Solution

The fourth proportional to 3,787.04, 5,680.58 and 1,321.87 is: 1,982.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.04 : 5,680.58 = 1,321.87 : x
  2. Step 2: Convert to fraction form
    3,787.04/5,680.58 = 1,321.87/x
  3. Step 3: Cross multiply
    3,787.04x = 5,680.58 × 1,321.87
  4. Step 4: Simplify right side
    3,787.04x = 7,508,985.56
  5. Step 5: Solve for x
    x = 7,508,985.56/3,787.04
  6. Step 6: Final answer
    x = 1,982.81

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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.