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Finding the Fourth Proportional to 25,866.96, 38,819.96 and 20,734.80

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Solution

The fourth proportional to 25,866.96, 38,819.96 and 20,734.80 is: 31,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,866.96 : 38,819.96 = 20,734.80 : x
  2. Step 2: Convert to fraction form
    25,866.96/38,819.96 = 20,734.80/x
  3. Step 3: Cross multiply
    25,866.96x = 38,819.96 × 20,734.80
  4. Step 4: Simplify right side
    25,866.96x = 804,924,106.61
  5. Step 5: Solve for x
    x = 804,924,106.61/25,866.96
  6. Step 6: Final answer
    x = 31,117.85

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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.