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Finding the Fourth Proportional to 38,481.80, 57,693.90 and 20,971.40

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Solution

The fourth proportional to 38,481.80, 57,693.90 and 20,971.40 is: 31,441.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,481.80 : 57,693.90 = 20,971.40 : x
  2. Step 2: Convert to fraction form
    38,481.80/57,693.90 = 20,971.40/x
  3. Step 3: Cross multiply
    38,481.80x = 57,693.90 × 20,971.40
  4. Step 4: Simplify right side
    38,481.80x = 1,209,921,854.46
  5. Step 5: Solve for x
    x = 1,209,921,854.46/38,481.80
  6. Step 6: Final answer
    x = 31,441.40

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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.