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Finding the Fourth Proportional to 5,649.42, 7,794.42 and 3,291.12

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Solution

The fourth proportional to 5,649.42, 7,794.42 and 3,291.12 is: 4,540.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.42 : 7,794.42 = 3,291.12 : x
  2. Step 2: Convert to fraction form
    5,649.42/7,794.42 = 3,291.12/x
  3. Step 3: Cross multiply
    5,649.42x = 7,794.42 × 3,291.12
  4. Step 4: Simplify right side
    5,649.42x = 25,652,371.55
  5. Step 5: Solve for x
    x = 25,652,371.55/5,649.42
  6. Step 6: Final answer
    x = 4,540.71

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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.