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Finding the Fourth Proportional to 20,472.31, 30,707.50 and 7,994.61

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Solution

The fourth proportional to 20,472.31, 30,707.50 and 7,994.61 is: 11,991.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,472.31 : 30,707.50 = 7,994.61 : x
  2. Step 2: Convert to fraction form
    20,472.31/30,707.50 = 7,994.61/x
  3. Step 3: Cross multiply
    20,472.31x = 30,707.50 × 7,994.61
  4. Step 4: Simplify right side
    20,472.31x = 245,494,486.58
  5. Step 5: Solve for x
    x = 245,494,486.58/20,472.31
  6. Step 6: Final answer
    x = 11,991.54

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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.