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Finding the Fourth Proportional to 13,991.57, 20,977.08 and 6,591.86

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Solution

The fourth proportional to 13,991.57, 20,977.08 and 6,591.86 is: 9,882.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,991.57 : 20,977.08 = 6,591.86 : x
  2. Step 2: Convert to fraction form
    13,991.57/20,977.08 = 6,591.86/x
  3. Step 3: Cross multiply
    13,991.57x = 20,977.08 × 6,591.86
  4. Step 4: Simplify right side
    13,991.57x = 138,277,974.57
  5. Step 5: Solve for x
    x = 138,277,974.57/13,991.57
  6. Step 6: Final answer
    x = 9,882.95

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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.