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Finding the Fourth Proportional to 22,349.46, 30,843 and 12,278.61

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Solution

The fourth proportional to 22,349.46, 30,843 and 12,278.61 is: 16,944.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,349.46 : 30,843 = 12,278.61 : x
  2. Step 2: Convert to fraction form
    22,349.46/30,843 = 12,278.61/x
  3. Step 3: Cross multiply
    22,349.46x = 30,843 × 12,278.61
  4. Step 4: Simplify right side
    22,349.46x = 378,709,168.23
  5. Step 5: Solve for x
    x = 378,709,168.23/22,349.46
  6. Step 6: Final answer
    x = 16,944.89

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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.