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Finding the Fourth Proportional to 16,233, 22,401.56 and 8,781

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Solution

The fourth proportional to 16,233, 22,401.56 and 8,781 is: 12,117.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,233 : 22,401.56 = 8,781 : x
  2. Step 2: Convert to fraction form
    16,233/22,401.56 = 8,781/x
  3. Step 3: Cross multiply
    16,233x = 22,401.56 × 8,781
  4. Step 4: Simplify right side
    16,233x = 196,708,098.36
  5. Step 5: Solve for x
    x = 196,708,098.36/16,233
  6. Step 6: Final answer
    x = 12,117.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.