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Finding the Fourth Proportional to 14,920.80, 20,589.09 and 8,632

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Solution

The fourth proportional to 14,920.80, 20,589.09 and 8,632 is: 11,911.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,920.80 : 20,589.09 = 8,632 : x
  2. Step 2: Convert to fraction form
    14,920.80/20,589.09 = 8,632/x
  3. Step 3: Cross multiply
    14,920.80x = 20,589.09 × 8,632
  4. Step 4: Simplify right side
    14,920.80x = 177,725,024.88
  5. Step 5: Solve for x
    x = 177,725,024.88/14,920.80
  6. Step 6: Final answer
    x = 11,911.23

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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.