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Finding the Fourth Proportional to 20,695.75, 31,048.49 and 6,844.75

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Solution

The fourth proportional to 20,695.75, 31,048.49 and 6,844.75 is: 10,268.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,695.75 : 31,048.49 = 6,844.75 : x
  2. Step 2: Convert to fraction form
    20,695.75/31,048.49 = 6,844.75/x
  3. Step 3: Cross multiply
    20,695.75x = 31,048.49 × 6,844.75
  4. Step 4: Simplify right side
    20,695.75x = 212,519,151.93
  5. Step 5: Solve for x
    x = 212,519,151.93/20,695.75
  6. Step 6: Final answer
    x = 10,268.73

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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.