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Finding the Fourth Proportional to 31,480.80, 43,421.04 and 20,292

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Solution

The fourth proportional to 31,480.80, 43,421.04 and 20,292 is: 27,988.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,480.80 : 43,421.04 = 20,292 : x
  2. Step 2: Convert to fraction form
    31,480.80/43,421.04 = 20,292/x
  3. Step 3: Cross multiply
    31,480.80x = 43,421.04 × 20,292
  4. Step 4: Simplify right side
    31,480.80x = 881,099,743.68
  5. Step 5: Solve for x
    x = 881,099,743.68/31,480.80
  6. Step 6: Final answer
    x = 27,988.48

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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.