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Finding the Fourth Proportional to 6,650.79, 9,976.47 and 2,489.71

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Solution

The fourth proportional to 6,650.79, 9,976.47 and 2,489.71 is: 3,734.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650.79 : 9,976.47 = 2,489.71 : x
  2. Step 2: Convert to fraction form
    6,650.79/9,976.47 = 2,489.71/x
  3. Step 3: Cross multiply
    6,650.79x = 9,976.47 × 2,489.71
  4. Step 4: Simplify right side
    6,650.79x = 24,838,517.12
  5. Step 5: Solve for x
    x = 24,838,517.12/6,650.79
  6. Step 6: Final answer
    x = 3,734.67

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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.