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Finding the Fourth Proportional to 12,229.40, 18,338.70 and 4,831.40

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Solution

The fourth proportional to 12,229.40, 18,338.70 and 4,831.40 is: 7,244.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,229.40 : 18,338.70 = 4,831.40 : x
  2. Step 2: Convert to fraction form
    12,229.40/18,338.70 = 4,831.40/x
  3. Step 3: Cross multiply
    12,229.40x = 18,338.70 × 4,831.40
  4. Step 4: Simplify right side
    12,229.40x = 88,601,595.18
  5. Step 5: Solve for x
    x = 88,601,595.18/12,229.40
  6. Step 6: Final answer
    x = 7,244.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.