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Finding the Fourth Proportional to 22,309.92, 30,787.56 and 12,878.46

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Solution

The fourth proportional to 22,309.92, 30,787.56 and 12,878.46 is: 17,772.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,309.92 : 30,787.56 = 12,878.46 : x
  2. Step 2: Convert to fraction form
    22,309.92/30,787.56 = 12,878.46/x
  3. Step 3: Cross multiply
    22,309.92x = 30,787.56 × 12,878.46
  4. Step 4: Simplify right side
    22,309.92x = 396,496,359.96
  5. Step 5: Solve for x
    x = 396,496,359.96/22,309.92
  6. Step 6: Final answer
    x = 17,772.20

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1.5x scale

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.