Home / 5,105.20-7,643.20-3,144.20

Finding the Fourth Proportional to 5,105.20, 7,643.20 and 3,144.20

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Solution

The fourth proportional to 5,105.20, 7,643.20 and 3,144.20 is: 4,707.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.20 : 7,643.20 = 3,144.20 : x
  2. Step 2: Convert to fraction form
    5,105.20/7,643.20 = 3,144.20/x
  3. Step 3: Cross multiply
    5,105.20x = 7,643.20 × 3,144.20
  4. Step 4: Simplify right side
    5,105.20x = 24,031,749.44
  5. Step 5: Solve for x
    x = 24,031,749.44/5,105.20
  6. Step 6: Final answer
    x = 4,707.31

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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.