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Finding the Fourth Proportional to 7,781.73, 11,672.56 and 1,938.33

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Solution

The fourth proportional to 7,781.73, 11,672.56 and 1,938.33 is: 2,907.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.73 : 11,672.56 = 1,938.33 : x
  2. Step 2: Convert to fraction form
    7,781.73/11,672.56 = 1,938.33/x
  3. Step 3: Cross multiply
    7,781.73x = 11,672.56 × 1,938.33
  4. Step 4: Simplify right side
    7,781.73x = 22,625,273.22
  5. Step 5: Solve for x
    x = 22,625,273.22/7,781.73
  6. Step 6: Final answer
    x = 2,907.49

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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.