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Finding the Fourth Proportional to 8,530.80, 12,799.38 and 3,849.42

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Solution

The fourth proportional to 8,530.80, 12,799.38 and 3,849.42 is: 5,775.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.80 : 12,799.38 = 3,849.42 : x
  2. Step 2: Convert to fraction form
    8,530.80/12,799.38 = 3,849.42/x
  3. Step 3: Cross multiply
    8,530.80x = 12,799.38 × 3,849.42
  4. Step 4: Simplify right side
    8,530.80x = 49,270,189.36
  5. Step 5: Solve for x
    x = 49,270,189.36/8,530.80
  6. Step 6: Final answer
    x = 5,775.56

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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.