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Finding the Fourth Proportional to 11,742, 17,608.80 and 5,500.92

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Solution

The fourth proportional to 11,742, 17,608.80 and 5,500.92 is: 8,249.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742 : 17,608.80 = 5,500.92 : x
  2. Step 2: Convert to fraction form
    11,742/17,608.80 = 5,500.92/x
  3. Step 3: Cross multiply
    11,742x = 17,608.80 × 5,500.92
  4. Step 4: Simplify right side
    11,742x = 96,864,600.10
  5. Step 5: Solve for x
    x = 96,864,600.10/11,742
  6. Step 6: Final answer
    x = 8,249.41

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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.