Home / 4,138.56-6,205.68-1,540.08

Finding the Fourth Proportional to 4,138.56, 6,205.68 and 1,540.08

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Solution

The fourth proportional to 4,138.56, 6,205.68 and 1,540.08 is: 2,309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.56 : 6,205.68 = 1,540.08 : x
  2. Step 2: Convert to fraction form
    4,138.56/6,205.68 = 1,540.08/x
  3. Step 3: Cross multiply
    4,138.56x = 6,205.68 × 1,540.08
  4. Step 4: Simplify right side
    4,138.56x = 9,557,243.65
  5. Step 5: Solve for x
    x = 9,557,243.65/4,138.56
  6. Step 6: Final answer
    x = 2,309.32

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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.