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Finding the Fourth Proportional to 20,825.47, 31,238.17 and 6,785.47

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Solution

The fourth proportional to 20,825.47, 31,238.17 and 6,785.47 is: 10,178.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,825.47 : 31,238.17 = 6,785.47 : x
  2. Step 2: Convert to fraction form
    20,825.47/31,238.17 = 6,785.47/x
  3. Step 3: Cross multiply
    20,825.47x = 31,238.17 × 6,785.47
  4. Step 4: Simplify right side
    20,825.47x = 211,965,665.39
  5. Step 5: Solve for x
    x = 211,965,665.39/20,825.47
  6. Step 6: Final answer
    x = 10,178.19

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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.