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Finding the Fourth Proportional to 7,921.74, 11,884.74 and 2,657.61

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Solution

The fourth proportional to 7,921.74, 11,884.74 and 2,657.61 is: 3,987.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,921.74 : 11,884.74 = 2,657.61 : x
  2. Step 2: Convert to fraction form
    7,921.74/11,884.74 = 2,657.61/x
  3. Step 3: Cross multiply
    7,921.74x = 11,884.74 × 2,657.61
  4. Step 4: Simplify right side
    7,921.74x = 31,585,003.87
  5. Step 5: Solve for x
    x = 31,585,003.87/7,921.74
  6. Step 6: Final answer
    x = 3,987.13

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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.