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Finding the Fourth Proportional to 7,761, 11,638.08 and 2,213.08

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Solution

The fourth proportional to 7,761, 11,638.08 and 2,213.08 is: 3,318.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761 : 11,638.08 = 2,213.08 : x
  2. Step 2: Convert to fraction form
    7,761/11,638.08 = 2,213.08/x
  3. Step 3: Cross multiply
    7,761x = 11,638.08 × 2,213.08
  4. Step 4: Simplify right side
    7,761x = 25,756,002.09
  5. Step 5: Solve for x
    x = 25,756,002.09/7,761
  6. Step 6: Final answer
    x = 3,318.64

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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.