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Finding the Fourth Proportional to 14,418, 19,899 and 8,832.24

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Solution

The fourth proportional to 14,418, 19,899 and 8,832.24 is: 12,189.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,418 : 19,899 = 8,832.24 : x
  2. Step 2: Convert to fraction form
    14,418/19,899 = 8,832.24/x
  3. Step 3: Cross multiply
    14,418x = 19,899 × 8,832.24
  4. Step 4: Simplify right side
    14,418x = 175,752,743.76
  5. Step 5: Solve for x
    x = 175,752,743.76/14,418
  6. Step 6: Final answer
    x = 12,189.81

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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.