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Finding the Fourth Proportional to 47,891, 71,836.50 and 15,059

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Solution

The fourth proportional to 47,891, 71,836.50 and 15,059 is: 22,588.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,891 : 71,836.50 = 15,059 : x
  2. Step 2: Convert to fraction form
    47,891/71,836.50 = 15,059/x
  3. Step 3: Cross multiply
    47,891x = 71,836.50 × 15,059
  4. Step 4: Simplify right side
    47,891x = 1,081,785,853.50
  5. Step 5: Solve for x
    x = 1,081,785,853.50/47,891
  6. Step 6: Final answer
    x = 22,588.50

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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.