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Finding the Fourth Proportional to 11,712.92, 17,568.05 and 2,947.82

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Solution

The fourth proportional to 11,712.92, 17,568.05 and 2,947.82 is: 4,421.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.92 : 17,568.05 = 2,947.82 : x
  2. Step 2: Convert to fraction form
    11,712.92/17,568.05 = 2,947.82/x
  3. Step 3: Cross multiply
    11,712.92x = 17,568.05 × 2,947.82
  4. Step 4: Simplify right side
    11,712.92x = 51,787,346.57
  5. Step 5: Solve for x
    x = 51,787,346.57/11,712.92
  6. Step 6: Final answer
    x = 4,421.39

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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.