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Finding the Fourth Proportional to 5,712.78, 7,883.33 and 3,194.39

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Solution

The fourth proportional to 5,712.78, 7,883.33 and 3,194.39 is: 4,408.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.78 : 7,883.33 = 3,194.39 : x
  2. Step 2: Convert to fraction form
    5,712.78/7,883.33 = 3,194.39/x
  3. Step 3: Cross multiply
    5,712.78x = 7,883.33 × 3,194.39
  4. Step 4: Simplify right side
    5,712.78x = 25,182,389.91
  5. Step 5: Solve for x
    x = 25,182,389.91/5,712.78
  6. Step 6: Final answer
    x = 4,408.08

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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.