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Finding the Fourth Proportional to 12,871.03, 17,764.32 and 9,344.49

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Solution

The fourth proportional to 12,871.03, 17,764.32 and 9,344.49 is: 12,897.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,871.03 : 17,764.32 = 9,344.49 : x
  2. Step 2: Convert to fraction form
    12,871.03/17,764.32 = 9,344.49/x
  3. Step 3: Cross multiply
    12,871.03x = 17,764.32 × 9,344.49
  4. Step 4: Simplify right side
    12,871.03x = 165,998,577.65
  5. Step 5: Solve for x
    x = 165,998,577.65/12,871.03
  6. Step 6: Final answer
    x = 12,897.07

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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.