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Finding the Fourth Proportional to 5,236.44, 7,223.68 and 3,111

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Solution

The fourth proportional to 5,236.44, 7,223.68 and 3,111 is: 4,291.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236.44 : 7,223.68 = 3,111 : x
  2. Step 2: Convert to fraction form
    5,236.44/7,223.68 = 3,111/x
  3. Step 3: Cross multiply
    5,236.44x = 7,223.68 × 3,111
  4. Step 4: Simplify right side
    5,236.44x = 22,472,868.48
  5. Step 5: Solve for x
    x = 22,472,868.48/5,236.44
  6. Step 6: Final answer
    x = 4,291.63

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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.