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Finding the Fourth Proportional to 7,761.89, 11,642.94 and 2,215.23

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Solution

The fourth proportional to 7,761.89, 11,642.94 and 2,215.23 is: 3,322.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.89 : 11,642.94 = 2,215.23 : x
  2. Step 2: Convert to fraction form
    7,761.89/11,642.94 = 2,215.23/x
  3. Step 3: Cross multiply
    7,761.89x = 11,642.94 × 2,215.23
  4. Step 4: Simplify right side
    7,761.89x = 25,791,778.90
  5. Step 5: Solve for x
    x = 25,791,778.90/7,761.89
  6. Step 6: Final answer
    x = 3,322.88

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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.