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Finding the Fourth Proportional to 22,251.92, 30,709.13 and 12,821.09

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Solution

The fourth proportional to 22,251.92, 30,709.13 and 12,821.09 is: 17,693.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,251.92 : 30,709.13 = 12,821.09 : x
  2. Step 2: Convert to fraction form
    22,251.92/30,709.13 = 12,821.09/x
  3. Step 3: Cross multiply
    22,251.92x = 30,709.13 × 12,821.09
  4. Step 4: Simplify right side
    22,251.92x = 393,724,301.90
  5. Step 5: Solve for x
    x = 393,724,301.90/22,251.92
  6. Step 6: Final answer
    x = 17,693.95

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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.