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Finding the Fourth Proportional to 4,961.76, 7,451.28 and 3,423.84

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Solution

The fourth proportional to 4,961.76, 7,451.28 and 3,423.84 is: 5,141.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,961.76 : 7,451.28 = 3,423.84 : x
  2. Step 2: Convert to fraction form
    4,961.76/7,451.28 = 3,423.84/x
  3. Step 3: Cross multiply
    4,961.76x = 7,451.28 × 3,423.84
  4. Step 4: Simplify right side
    4,961.76x = 25,511,990.52
  5. Step 5: Solve for x
    x = 25,511,990.52/4,961.76
  6. Step 6: Final answer
    x = 5,141.72

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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.