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Finding the Fourth Proportional to 20,895.68, 31,348.92 and 7,751.82

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Solution

The fourth proportional to 20,895.68, 31,348.92 and 7,751.82 is: 11,629.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,895.68 : 31,348.92 = 7,751.82 : x
  2. Step 2: Convert to fraction form
    20,895.68/31,348.92 = 7,751.82/x
  3. Step 3: Cross multiply
    20,895.68x = 31,348.92 × 7,751.82
  4. Step 4: Simplify right side
    20,895.68x = 243,011,185.03
  5. Step 5: Solve for x
    x = 243,011,185.03/20,895.68
  6. Step 6: Final answer
    x = 11,629.73

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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.