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Finding the Fourth Proportional to 20,198.88, 27,888.12 and 12,648.24

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Solution

The fourth proportional to 20,198.88, 27,888.12 and 12,648.24 is: 17,463.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.88 : 27,888.12 = 12,648.24 : x
  2. Step 2: Convert to fraction form
    20,198.88/27,888.12 = 12,648.24/x
  3. Step 3: Cross multiply
    20,198.88x = 27,888.12 × 12,648.24
  4. Step 4: Simplify right side
    20,198.88x = 352,735,634.91
  5. Step 5: Solve for x
    x = 352,735,634.91/20,198.88
  6. Step 6: Final answer
    x = 17,463.13

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1.5x scale

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.