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Finding the Fourth Proportional to 20,958.79, 31,438.92 and 6,919.15

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Solution

The fourth proportional to 20,958.79, 31,438.92 and 6,919.15 is: 10,378.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,958.79 : 31,438.92 = 6,919.15 : x
  2. Step 2: Convert to fraction form
    20,958.79/31,438.92 = 6,919.15/x
  3. Step 3: Cross multiply
    20,958.79x = 31,438.92 × 6,919.15
  4. Step 4: Simplify right side
    20,958.79x = 217,530,603.32
  5. Step 5: Solve for x
    x = 217,530,603.32/20,958.79
  6. Step 6: Final answer
    x = 10,378.97

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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.