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Finding the Fourth Proportional to 22,309.64, 30,787.30 and 12,878.20

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Solution

The fourth proportional to 22,309.64, 30,787.30 and 12,878.20 is: 17,771.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,309.64 : 30,787.30 = 12,878.20 : x
  2. Step 2: Convert to fraction form
    22,309.64/30,787.30 = 12,878.20/x
  3. Step 3: Cross multiply
    22,309.64x = 30,787.30 × 12,878.20
  4. Step 4: Simplify right side
    22,309.64x = 396,485,006.86
  5. Step 5: Solve for x
    x = 396,485,006.86/22,309.64
  6. Step 6: Final answer
    x = 17,771.91

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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.