Home / 5,187.24-7,780.38-2,109

Finding the Fourth Proportional to 5,187.24, 7,780.38 and 2,109

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Solution

The fourth proportional to 5,187.24, 7,780.38 and 2,109 is: 3,163.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.24 : 7,780.38 = 2,109 : x
  2. Step 2: Convert to fraction form
    5,187.24/7,780.38 = 2,109/x
  3. Step 3: Cross multiply
    5,187.24x = 7,780.38 × 2,109
  4. Step 4: Simplify right side
    5,187.24x = 16,408,821.42
  5. Step 5: Solve for x
    x = 16,408,821.42/5,187.24
  6. Step 6: Final answer
    x = 3,163.30

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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.