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Finding the Fourth Proportional to 7,759.80, 11,641.50 and 2,213.22

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Solution

The fourth proportional to 7,759.80, 11,641.50 and 2,213.22 is: 3,320.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.80 : 11,641.50 = 2,213.22 : x
  2. Step 2: Convert to fraction form
    7,759.80/11,641.50 = 2,213.22/x
  3. Step 3: Cross multiply
    7,759.80x = 11,641.50 × 2,213.22
  4. Step 4: Simplify right side
    7,759.80x = 25,765,200.63
  5. Step 5: Solve for x
    x = 25,765,200.63/7,759.80
  6. Step 6: Final answer
    x = 3,320.34

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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.