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Finding the Fourth Proportional to 21,251.56, 31,891.86 and 7,400.56

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Solution

The fourth proportional to 21,251.56, 31,891.86 and 7,400.56 is: 11,105.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,251.56 : 31,891.86 = 7,400.56 : x
  2. Step 2: Convert to fraction form
    21,251.56/31,891.86 = 7,400.56/x
  3. Step 3: Cross multiply
    21,251.56x = 31,891.86 × 7,400.56
  4. Step 4: Simplify right side
    21,251.56x = 236,017,623.44
  5. Step 5: Solve for x
    x = 236,017,623.44/21,251.56
  6. Step 6: Final answer
    x = 11,105.90

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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.