Home / 5,138.24-7,698.92-2,174.31

Finding the Fourth Proportional to 5,138.24, 7,698.92 and 2,174.31

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Solution

The fourth proportional to 5,138.24, 7,698.92 and 2,174.31 is: 3,257.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.24 : 7,698.92 = 2,174.31 : x
  2. Step 2: Convert to fraction form
    5,138.24/7,698.92 = 2,174.31/x
  3. Step 3: Cross multiply
    5,138.24x = 7,698.92 × 2,174.31
  4. Step 4: Simplify right side
    5,138.24x = 16,739,827.87
  5. Step 5: Solve for x
    x = 16,739,827.87/5,138.24
  6. Step 6: Final answer
    x = 3,257.89

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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.