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Finding the Fourth Proportional to 11,364.56, 16,987.00 and 9,871.95

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Solution

The fourth proportional to 11,364.56, 16,987.00 and 9,871.95 is: 14,755.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,364.56 : 16,987.00 = 9,871.95 : x
  2. Step 2: Convert to fraction form
    11,364.56/16,987.00 = 9,871.95/x
  3. Step 3: Cross multiply
    11,364.56x = 16,987.00 × 9,871.95
  4. Step 4: Simplify right side
    11,364.56x = 167,694,789.97
  5. Step 5: Solve for x
    x = 167,694,789.97/11,364.56
  6. Step 6: Final answer
    x = 14,755.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.