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Finding the Fourth Proportional to 9,418.80, 12,997.86 and 5,169.74

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Solution

The fourth proportional to 9,418.80, 12,997.86 and 5,169.74 is: 7,134.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,418.80 : 12,997.86 = 5,169.74 : x
  2. Step 2: Convert to fraction form
    9,418.80/12,997.86 = 5,169.74/x
  3. Step 3: Cross multiply
    9,418.80x = 12,997.86 × 5,169.74
  4. Step 4: Simplify right side
    9,418.80x = 67,195,491.77
  5. Step 5: Solve for x
    x = 67,195,491.77/9,418.80
  6. Step 6: Final answer
    x = 7,134.19

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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.