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Finding the Fourth Proportional to 20,679.25, 30,994.17 and 7,524.46

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Solution

The fourth proportional to 20,679.25, 30,994.17 and 7,524.46 is: 11,277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,679.25 : 30,994.17 = 7,524.46 : x
  2. Step 2: Convert to fraction form
    20,679.25/30,994.17 = 7,524.46/x
  3. Step 3: Cross multiply
    20,679.25x = 30,994.17 × 7,524.46
  4. Step 4: Simplify right side
    20,679.25x = 233,214,392.40
  5. Step 5: Solve for x
    x = 233,214,392.40/20,679.25
  6. Step 6: Final answer
    x = 11,277.70

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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.