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Finding the Fourth Proportional to 11,829.35, 17,707.11 and 8,712.87

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Solution

The fourth proportional to 11,829.35, 17,707.11 and 8,712.87 is: 13,042.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.35 : 17,707.11 = 8,712.87 : x
  2. Step 2: Convert to fraction form
    11,829.35/17,707.11 = 8,712.87/x
  3. Step 3: Cross multiply
    11,829.35x = 17,707.11 × 8,712.87
  4. Step 4: Simplify right side
    11,829.35x = 154,279,813.56
  5. Step 5: Solve for x
    x = 154,279,813.56/11,829.35
  6. Step 6: Final answer
    x = 13,042.12

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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.