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Finding the Fourth Proportional to 12,374.76, 18,568.50 and 7,934.76

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Solution

The fourth proportional to 12,374.76, 18,568.50 and 7,934.76 is: 11,906.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.76 : 18,568.50 = 7,934.76 : x
  2. Step 2: Convert to fraction form
    12,374.76/18,568.50 = 7,934.76/x
  3. Step 3: Cross multiply
    12,374.76x = 18,568.50 × 7,934.76
  4. Step 4: Simplify right side
    12,374.76x = 147,336,591.06
  5. Step 5: Solve for x
    x = 147,336,591.06/12,374.76
  6. Step 6: Final answer
    x = 11,906.22

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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.