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Finding the Fourth Proportional to 7,481.84, 11,213.10 and 3,775.75

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Solution

The fourth proportional to 7,481.84, 11,213.10 and 3,775.75 is: 5,658.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,481.84 : 11,213.10 = 3,775.75 : x
  2. Step 2: Convert to fraction form
    7,481.84/11,213.10 = 3,775.75/x
  3. Step 3: Cross multiply
    7,481.84x = 11,213.10 × 3,775.75
  4. Step 4: Simplify right side
    7,481.84x = 42,337,834.29
  5. Step 5: Solve for x
    x = 42,337,834.29/7,481.84
  6. Step 6: Final answer
    x = 5,658.75

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1.5x scale

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.