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Finding the Fourth Proportional to 11,129.81, 16,700.18 and 7,863.89

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Solution

The fourth proportional to 11,129.81, 16,700.18 and 7,863.89 is: 11,799.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,129.81 : 16,700.18 = 7,863.89 : x
  2. Step 2: Convert to fraction form
    11,129.81/16,700.18 = 7,863.89/x
  3. Step 3: Cross multiply
    11,129.81x = 16,700.18 × 7,863.89
  4. Step 4: Simplify right side
    11,129.81x = 131,328,255.68
  5. Step 5: Solve for x
    x = 131,328,255.68/11,129.81
  6. Step 6: Final answer
    x = 11,799.69

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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.