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Finding the Fourth Proportional to 2,802, 4,197.60 and 2,182.80

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Solution

The fourth proportional to 2,802, 4,197.60 and 2,182.80 is: 3,269.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802 : 4,197.60 = 2,182.80 : x
  2. Step 2: Convert to fraction form
    2,802/4,197.60 = 2,182.80/x
  3. Step 3: Cross multiply
    2,802x = 4,197.60 × 2,182.80
  4. Step 4: Simplify right side
    2,802x = 9,162,521.28
  5. Step 5: Solve for x
    x = 9,162,521.28/2,802
  6. Step 6: Final answer
    x = 3,269.99

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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.