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Finding the Fourth Proportional to 31,300, 43,195.92 and 18,052

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Solution

The fourth proportional to 31,300, 43,195.92 and 18,052 is: 24,912.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,300 : 43,195.92 = 18,052 : x
  2. Step 2: Convert to fraction form
    31,300/43,195.92 = 18,052/x
  3. Step 3: Cross multiply
    31,300x = 43,195.92 × 18,052
  4. Step 4: Simplify right side
    31,300x = 779,772,747.84
  5. Step 5: Solve for x
    x = 779,772,747.84/31,300
  6. Step 6: Final answer
    x = 24,912.87

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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.