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Finding the Fourth Proportional to 7,759.98, 11,638.22 and 2,213.19

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Solution

The fourth proportional to 7,759.98, 11,638.22 and 2,213.19 is: 3,319.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.98 : 11,638.22 = 2,213.19 : x
  2. Step 2: Convert to fraction form
    7,759.98/11,638.22 = 2,213.19/x
  3. Step 3: Cross multiply
    7,759.98x = 11,638.22 × 2,213.19
  4. Step 4: Simplify right side
    7,759.98x = 25,757,581.06
  5. Step 5: Solve for x
    x = 25,757,581.06/7,759.98
  6. Step 6: Final answer
    x = 3,319.28

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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.