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Finding the Fourth Proportional to 5,149.84, 7,724.40 and 2,951.68

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Solution

The fourth proportional to 5,149.84, 7,724.40 and 2,951.68 is: 4,427.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.84 : 7,724.40 = 2,951.68 : x
  2. Step 2: Convert to fraction form
    5,149.84/7,724.40 = 2,951.68/x
  3. Step 3: Cross multiply
    5,149.84x = 7,724.40 × 2,951.68
  4. Step 4: Simplify right side
    5,149.84x = 22,799,956.99
  5. Step 5: Solve for x
    x = 22,799,956.99/5,149.84
  6. Step 6: Final answer
    x = 4,427.31

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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.