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Finding the Fourth Proportional to 3,858.04, 5,787.86 and 1,549.72

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Solution

The fourth proportional to 3,858.04, 5,787.86 and 1,549.72 is: 2,324.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.04 : 5,787.86 = 1,549.72 : x
  2. Step 2: Convert to fraction form
    3,858.04/5,787.86 = 1,549.72/x
  3. Step 3: Cross multiply
    3,858.04x = 5,787.86 × 1,549.72
  4. Step 4: Simplify right side
    3,858.04x = 8,969,562.40
  5. Step 5: Solve for x
    x = 8,969,562.40/3,858.04
  6. Step 6: Final answer
    x = 2,324.90

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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.