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Finding the Fourth Proportional to 20,759, 31,138.77 and 6,908

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Solution

The fourth proportional to 20,759, 31,138.77 and 6,908 is: 10,362.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,759 : 31,138.77 = 6,908 : x
  2. Step 2: Convert to fraction form
    20,759/31,138.77 = 6,908/x
  3. Step 3: Cross multiply
    20,759x = 31,138.77 × 6,908
  4. Step 4: Simplify right side
    20,759x = 215,106,623.16
  5. Step 5: Solve for x
    x = 215,106,623.16/20,759
  6. Step 6: Final answer
    x = 10,362.09

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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.