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Finding the Fourth Proportional to 20,710.62, 31,062.69 and 6,859.62

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Solution

The fourth proportional to 20,710.62, 31,062.69 and 6,859.62 is: 10,288.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,710.62 : 31,062.69 = 6,859.62 : x
  2. Step 2: Convert to fraction form
    20,710.62/31,062.69 = 6,859.62/x
  3. Step 3: Cross multiply
    20,710.62x = 31,062.69 × 6,859.62
  4. Step 4: Simplify right side
    20,710.62x = 213,078,249.58
  5. Step 5: Solve for x
    x = 213,078,249.58/20,710.62
  6. Step 6: Final answer
    x = 10,288.36

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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.