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Finding the Fourth Proportional to 20,782.58, 31,163.54 and 8,935.11

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Solution

The fourth proportional to 20,782.58, 31,163.54 and 8,935.11 is: 13,398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,782.58 : 31,163.54 = 8,935.11 : x
  2. Step 2: Convert to fraction form
    20,782.58/31,163.54 = 8,935.11/x
  3. Step 3: Cross multiply
    20,782.58x = 31,163.54 × 8,935.11
  4. Step 4: Simplify right side
    20,782.58x = 278,449,613.21
  5. Step 5: Solve for x
    x = 278,449,613.21/20,782.58
  6. Step 6: Final answer
    x = 13,398.22

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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.