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Finding the Fourth Proportional to 20,707, 31,063.76 and 6,859.24

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Solution

The fourth proportional to 20,707, 31,063.76 and 6,859.24 is: 10,289.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,707 : 31,063.76 = 6,859.24 : x
  2. Step 2: Convert to fraction form
    20,707/31,063.76 = 6,859.24/x
  3. Step 3: Cross multiply
    20,707x = 31,063.76 × 6,859.24
  4. Step 4: Simplify right side
    20,707x = 213,073,785.14
  5. Step 5: Solve for x
    x = 213,073,785.14/20,707
  6. Step 6: Final answer
    x = 10,289.94

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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.