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Finding the Fourth Proportional to 6,339.74, 9,510.12 and 2,179.76

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Solution

The fourth proportional to 6,339.74, 9,510.12 and 2,179.76 is: 3,269.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.74 : 9,510.12 = 2,179.76 : x
  2. Step 2: Convert to fraction form
    6,339.74/9,510.12 = 2,179.76/x
  3. Step 3: Cross multiply
    6,339.74x = 9,510.12 × 2,179.76
  4. Step 4: Simplify right side
    6,339.74x = 20,729,731.62
  5. Step 5: Solve for x
    x = 20,729,731.62/6,339.74
  6. Step 6: Final answer
    x = 3,269.81

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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.