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Finding the Fourth Proportional to 2,648.48, 3,972.72 and 1,964.96

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Solution

The fourth proportional to 2,648.48, 3,972.72 and 1,964.96 is: 2,947.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.48 : 3,972.72 = 1,964.96 : x
  2. Step 2: Convert to fraction form
    2,648.48/3,972.72 = 1,964.96/x
  3. Step 3: Cross multiply
    2,648.48x = 3,972.72 × 1,964.96
  4. Step 4: Simplify right side
    2,648.48x = 7,806,235.89
  5. Step 5: Solve for x
    x = 7,806,235.89/2,648.48
  6. Step 6: Final answer
    x = 2,947.44

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Similar ratio
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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.