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Finding the Fourth Proportional to 16,512.78, 22,787.70 and 8,959.20

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Solution

The fourth proportional to 16,512.78, 22,787.70 and 8,959.20 is: 12,363.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,512.78 : 22,787.70 = 8,959.20 : x
  2. Step 2: Convert to fraction form
    16,512.78/22,787.70 = 8,959.20/x
  3. Step 3: Cross multiply
    16,512.78x = 22,787.70 × 8,959.20
  4. Step 4: Simplify right side
    16,512.78x = 204,159,561.84
  5. Step 5: Solve for x
    x = 204,159,561.84/16,512.78
  6. Step 6: Final answer
    x = 12,363.73

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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.