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Finding the Fourth Proportional to 12,524.98, 17,269.80 and 9,999

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Solution

The fourth proportional to 12,524.98, 17,269.80 and 9,999 is: 13,786.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524.98 : 17,269.80 = 9,999 : x
  2. Step 2: Convert to fraction form
    12,524.98/17,269.80 = 9,999/x
  3. Step 3: Cross multiply
    12,524.98x = 17,269.80 × 9,999
  4. Step 4: Simplify right side
    12,524.98x = 172,680,730.20
  5. Step 5: Solve for x
    x = 172,680,730.20/12,524.98
  6. Step 6: Final answer
    x = 13,786.91

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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.