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Finding the Fourth Proportional to 6,309.66, 9,470.35 and 3,191.87

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Solution

The fourth proportional to 6,309.66, 9,470.35 and 3,191.87 is: 4,790.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.66 : 9,470.35 = 3,191.87 : x
  2. Step 2: Convert to fraction form
    6,309.66/9,470.35 = 3,191.87/x
  3. Step 3: Cross multiply
    6,309.66x = 9,470.35 × 3,191.87
  4. Step 4: Simplify right side
    6,309.66x = 30,228,062.74
  5. Step 5: Solve for x
    x = 30,228,062.74/6,309.66
  6. Step 6: Final answer
    x = 4,790.76

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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.