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Finding the Fourth Proportional to 31,296, 43,188.48 and 18,048

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Solution

The fourth proportional to 31,296, 43,188.48 and 18,048 is: 24,906.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,296 : 43,188.48 = 18,048 : x
  2. Step 2: Convert to fraction form
    31,296/43,188.48 = 18,048/x
  3. Step 3: Cross multiply
    31,296x = 43,188.48 × 18,048
  4. Step 4: Simplify right side
    31,296x = 779,465,687.04
  5. Step 5: Solve for x
    x = 779,465,687.04/31,296
  6. Step 6: Final answer
    x = 24,906.24

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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.