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Finding the Fourth Proportional to 7,993.42, 11,972.68 and 6,591

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Solution

The fourth proportional to 7,993.42, 11,972.68 and 6,591 is: 9,872.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,993.42 : 11,972.68 = 6,591 : x
  2. Step 2: Convert to fraction form
    7,993.42/11,972.68 = 6,591/x
  3. Step 3: Cross multiply
    7,993.42x = 11,972.68 × 6,591
  4. Step 4: Simplify right side
    7,993.42x = 78,911,933.88
  5. Step 5: Solve for x
    x = 78,911,933.88/7,993.42
  6. Step 6: Final answer
    x = 9,872.11

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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.