Home / 5,207.24-7,805.92-1,742

Finding the Fourth Proportional to 5,207.24, 7,805.92 and 1,742

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Solution

The fourth proportional to 5,207.24, 7,805.92 and 1,742 is: 2,611.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.24 : 7,805.92 = 1,742 : x
  2. Step 2: Convert to fraction form
    5,207.24/7,805.92 = 1,742/x
  3. Step 3: Cross multiply
    5,207.24x = 7,805.92 × 1,742
  4. Step 4: Simplify right side
    5,207.24x = 13,597,912.64
  5. Step 5: Solve for x
    x = 13,597,912.64/5,207.24
  6. Step 6: Final answer
    x = 2,611.35

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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.