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Finding the Fourth Proportional to 7,802, 10,766.76 and 4,491.92

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Solution

The fourth proportional to 7,802, 10,766.76 and 4,491.92 is: 6,198.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802 : 10,766.76 = 4,491.92 : x
  2. Step 2: Convert to fraction form
    7,802/10,766.76 = 4,491.92/x
  3. Step 3: Cross multiply
    7,802x = 10,766.76 × 4,491.92
  4. Step 4: Simplify right side
    7,802x = 48,363,424.58
  5. Step 5: Solve for x
    x = 48,363,424.58/7,802
  6. Step 6: Final answer
    x = 6,198.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.