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Finding the Fourth Proportional to 5,165.71, 7,749.20 and 3,787.90

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Solution

The fourth proportional to 5,165.71, 7,749.20 and 3,787.90 is: 5,682.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.71 : 7,749.20 = 3,787.90 : x
  2. Step 2: Convert to fraction form
    5,165.71/7,749.20 = 3,787.90/x
  3. Step 3: Cross multiply
    5,165.71x = 7,749.20 × 3,787.90
  4. Step 4: Simplify right side
    5,165.71x = 29,353,184.78
  5. Step 5: Solve for x
    x = 29,353,184.78/5,165.71
  6. Step 6: Final answer
    x = 5,682.32

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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.