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Finding the Fourth Proportional to 5,432.80, 8,141.76 and 3,965.08

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Solution

The fourth proportional to 5,432.80, 8,141.76 and 3,965.08 is: 5,942.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432.80 : 8,141.76 = 3,965.08 : x
  2. Step 2: Convert to fraction form
    5,432.80/8,141.76 = 3,965.08/x
  3. Step 3: Cross multiply
    5,432.80x = 8,141.76 × 3,965.08
  4. Step 4: Simplify right side
    5,432.80x = 32,282,729.74
  5. Step 5: Solve for x
    x = 32,282,729.74/5,432.80
  6. Step 6: Final answer
    x = 5,942.19

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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.