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Finding the Fourth Proportional to 22,484.81, 33,720.82 and 6,689.20

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Solution

The fourth proportional to 22,484.81, 33,720.82 and 6,689.20 is: 10,031.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,484.81 : 33,720.82 = 6,689.20 : x
  2. Step 2: Convert to fraction form
    22,484.81/33,720.82 = 6,689.20/x
  3. Step 3: Cross multiply
    22,484.81x = 33,720.82 × 6,689.20
  4. Step 4: Simplify right side
    22,484.81x = 225,565,309.14
  5. Step 5: Solve for x
    x = 225,565,309.14/22,484.81
  6. Step 6: Final answer
    x = 10,031.90

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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.