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Finding the Fourth Proportional to 7,781.92, 11,673.44 and 2,851.44

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Solution

The fourth proportional to 7,781.92, 11,673.44 and 2,851.44 is: 4,277.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.92 : 11,673.44 = 2,851.44 : x
  2. Step 2: Convert to fraction form
    7,781.92/11,673.44 = 2,851.44/x
  3. Step 3: Cross multiply
    7,781.92x = 11,673.44 × 2,851.44
  4. Step 4: Simplify right side
    7,781.92x = 33,286,113.75
  5. Step 5: Solve for x
    x = 33,286,113.75/7,781.92
  6. Step 6: Final answer
    x = 4,277.37

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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.