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Finding the Fourth Proportional to 22,305.84, 30,784.80 and 12,874.41

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Solution

The fourth proportional to 22,305.84, 30,784.80 and 12,874.41 is: 17,768.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,305.84 : 30,784.80 = 12,874.41 : x
  2. Step 2: Convert to fraction form
    22,305.84/30,784.80 = 12,874.41/x
  3. Step 3: Cross multiply
    22,305.84x = 30,784.80 × 12,874.41
  4. Step 4: Simplify right side
    22,305.84x = 396,336,136.97
  5. Step 5: Solve for x
    x = 396,336,136.97/22,305.84
  6. Step 6: Final answer
    x = 17,768.27

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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.