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Finding the Fourth Proportional to 8,191.68, 11,304 and 5,400.96

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Solution

The fourth proportional to 8,191.68, 11,304 and 5,400.96 is: 7,452.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.68 : 11,304 = 5,400.96 : x
  2. Step 2: Convert to fraction form
    8,191.68/11,304 = 5,400.96/x
  3. Step 3: Cross multiply
    8,191.68x = 11,304 × 5,400.96
  4. Step 4: Simplify right side
    8,191.68x = 61,052,451.84
  5. Step 5: Solve for x
    x = 61,052,451.84/8,191.68
  6. Step 6: Final answer
    x = 7,452.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.