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Finding the Fourth Proportional to 11,877.39, 17,821.22 and 5,641.79

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Solution

The fourth proportional to 11,877.39, 17,821.22 and 5,641.79 is: 8,465.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,877.39 : 17,821.22 = 5,641.79 : x
  2. Step 2: Convert to fraction form
    11,877.39/17,821.22 = 5,641.79/x
  3. Step 3: Cross multiply
    11,877.39x = 17,821.22 × 5,641.79
  4. Step 4: Simplify right side
    11,877.39x = 100,543,463.47
  5. Step 5: Solve for x
    x = 100,543,463.47/11,877.39
  6. Step 6: Final answer
    x = 8,465.11

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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.