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Finding the Fourth Proportional to 7,975.78, 11,963.78 and 2,781.66

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Solution

The fourth proportional to 7,975.78, 11,963.78 and 2,781.66 is: 4,172.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975.78 : 11,963.78 = 2,781.66 : x
  2. Step 2: Convert to fraction form
    7,975.78/11,963.78 = 2,781.66/x
  3. Step 3: Cross multiply
    7,975.78x = 11,963.78 × 2,781.66
  4. Step 4: Simplify right side
    7,975.78x = 33,279,168.27
  5. Step 5: Solve for x
    x = 33,279,168.27/7,975.78
  6. Step 6: Final answer
    x = 4,172.53

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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.