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Finding the Fourth Proportional to 14,847, 20,488.50 and 8,132.91

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Solution

The fourth proportional to 14,847, 20,488.50 and 8,132.91 is: 11,223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,847 : 20,488.50 = 8,132.91 : x
  2. Step 2: Convert to fraction form
    14,847/20,488.50 = 8,132.91/x
  3. Step 3: Cross multiply
    14,847x = 20,488.50 × 8,132.91
  4. Step 4: Simplify right side
    14,847x = 166,631,126.54
  5. Step 5: Solve for x
    x = 166,631,126.54/14,847
  6. Step 6: Final answer
    x = 11,223.22

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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.