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Finding the Fourth Proportional to 13,456.98, 20,169 and 10,159.74

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Solution

The fourth proportional to 13,456.98, 20,169 and 10,159.74 is: 15,227.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,456.98 : 20,169 = 10,159.74 : x
  2. Step 2: Convert to fraction form
    13,456.98/20,169 = 10,159.74/x
  3. Step 3: Cross multiply
    13,456.98x = 20,169 × 10,159.74
  4. Step 4: Simplify right side
    13,456.98x = 204,911,796.06
  5. Step 5: Solve for x
    x = 204,911,796.06/13,456.98
  6. Step 6: Final answer
    x = 15,227.18

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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.