Home / 8,213.85-11,331.17-5,380

Finding the Fourth Proportional to 8,213.85, 11,331.17 and 5,380

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Solution

The fourth proportional to 8,213.85, 11,331.17 and 5,380 is: 7,421.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.85 : 11,331.17 = 5,380 : x
  2. Step 2: Convert to fraction form
    8,213.85/11,331.17 = 5,380/x
  3. Step 3: Cross multiply
    8,213.85x = 11,331.17 × 5,380
  4. Step 4: Simplify right side
    8,213.85x = 60,961,667.70
  5. Step 5: Solve for x
    x = 60,961,667.70/8,213.85
  6. Step 6: Final answer
    x = 7,421.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.