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Finding the Fourth Proportional to 14,387.97, 21,550.71 and 6,976.86

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Solution

The fourth proportional to 14,387.97, 21,550.71 and 6,976.86 is: 10,450.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,387.97 : 21,550.71 = 6,976.86 : x
  2. Step 2: Convert to fraction form
    14,387.97/21,550.71 = 6,976.86/x
  3. Step 3: Cross multiply
    14,387.97x = 21,550.71 × 6,976.86
  4. Step 4: Simplify right side
    14,387.97x = 150,356,286.57
  5. Step 5: Solve for x
    x = 150,356,286.57/14,387.97
  6. Step 6: Final answer
    x = 10,450.14

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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.