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Finding the Fourth Proportional to 7,781.62, 11,672.42 and 2,851.64

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Solution

The fourth proportional to 7,781.62, 11,672.42 and 2,851.64 is: 4,277.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.62 : 11,672.42 = 2,851.64 : x
  2. Step 2: Convert to fraction form
    7,781.62/11,672.42 = 2,851.64/x
  3. Step 3: Cross multiply
    7,781.62x = 11,672.42 × 2,851.64
  4. Step 4: Simplify right side
    7,781.62x = 33,285,467.15
  5. Step 5: Solve for x
    x = 33,285,467.15/7,781.62
  6. Step 6: Final answer
    x = 4,277.45

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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.