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Finding the Fourth Proportional to 6,638.28, 9,954.17 and 3,865.92

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Solution

The fourth proportional to 6,638.28, 9,954.17 and 3,865.92 is: 5,796.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.28 : 9,954.17 = 3,865.92 : x
  2. Step 2: Convert to fraction form
    6,638.28/9,954.17 = 3,865.92/x
  3. Step 3: Cross multiply
    6,638.28x = 9,954.17 × 3,865.92
  4. Step 4: Simplify right side
    6,638.28x = 38,482,024.89
  5. Step 5: Solve for x
    x = 38,482,024.89/6,638.28
  6. Step 6: Final answer
    x = 5,796.99

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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.