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Finding the Fourth Proportional to 22,346.28, 30,838.25 and 12,275.69

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Solution

The fourth proportional to 22,346.28, 30,838.25 and 12,275.69 is: 16,940.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,346.28 : 30,838.25 = 12,275.69 : x
  2. Step 2: Convert to fraction form
    22,346.28/30,838.25 = 12,275.69/x
  3. Step 3: Cross multiply
    22,346.28x = 30,838.25 × 12,275.69
  4. Step 4: Simplify right side
    22,346.28x = 378,560,673.64
  5. Step 5: Solve for x
    x = 378,560,673.64/22,346.28
  6. Step 6: Final answer
    x = 16,940.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.