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Finding the Fourth Proportional to 5,154.28, 7,728.70 and 2,554

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Solution

The fourth proportional to 5,154.28, 7,728.70 and 2,554 is: 3,829.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.28 : 7,728.70 = 2,554 : x
  2. Step 2: Convert to fraction form
    5,154.28/7,728.70 = 2,554/x
  3. Step 3: Cross multiply
    5,154.28x = 7,728.70 × 2,554
  4. Step 4: Simplify right side
    5,154.28x = 19,739,099.80
  5. Step 5: Solve for x
    x = 19,739,099.80/5,154.28
  6. Step 6: Final answer
    x = 3,829.65

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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.