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Finding the Fourth Proportional to 5,712.24, 7,882.16 and 3,194.49

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Solution

The fourth proportional to 5,712.24, 7,882.16 and 3,194.49 is: 4,407.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.24 : 7,882.16 = 3,194.49 : x
  2. Step 2: Convert to fraction form
    5,712.24/7,882.16 = 3,194.49/x
  3. Step 3: Cross multiply
    5,712.24x = 7,882.16 × 3,194.49
  4. Step 4: Simplify right side
    5,712.24x = 25,179,465.33
  5. Step 5: Solve for x
    x = 25,179,465.33/5,712.24
  6. Step 6: Final answer
    x = 4,407.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.