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Finding the Fourth Proportional to 31,890, 44,008.20 and 18,642

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Solution

The fourth proportional to 31,890, 44,008.20 and 18,642 is: 25,725.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,890 : 44,008.20 = 18,642 : x
  2. Step 2: Convert to fraction form
    31,890/44,008.20 = 18,642/x
  3. Step 3: Cross multiply
    31,890x = 44,008.20 × 18,642
  4. Step 4: Simplify right side
    31,890x = 820,400,864.40
  5. Step 5: Solve for x
    x = 820,400,864.40/31,890
  6. Step 6: Final answer
    x = 25,725.96

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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.