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Finding the Fourth Proportional to 7,209.92, 10,808.39 and 2,830.52

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Solution

The fourth proportional to 7,209.92, 10,808.39 and 2,830.52 is: 4,243.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.92 : 10,808.39 = 2,830.52 : x
  2. Step 2: Convert to fraction form
    7,209.92/10,808.39 = 2,830.52/x
  3. Step 3: Cross multiply
    7,209.92x = 10,808.39 × 2,830.52
  4. Step 4: Simplify right side
    7,209.92x = 30,593,317.10
  5. Step 5: Solve for x
    x = 30,593,317.10/7,209.92
  6. Step 6: Final answer
    x = 4,243.23

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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.