Home / 5,209.27-7,815.26-1,922.38

Finding the Fourth Proportional to 5,209.27, 7,815.26 and 1,922.38

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Solution

The fourth proportional to 5,209.27, 7,815.26 and 1,922.38 is: 2,884.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.27 : 7,815.26 = 1,922.38 : x
  2. Step 2: Convert to fraction form
    5,209.27/7,815.26 = 1,922.38/x
  3. Step 3: Cross multiply
    5,209.27x = 7,815.26 × 1,922.38
  4. Step 4: Simplify right side
    5,209.27x = 15,023,884.79
  5. Step 5: Solve for x
    x = 15,023,884.79/5,209.27
  6. Step 6: Final answer
    x = 2,884.07

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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.