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Finding the Fourth Proportional to 3,213.95, 4,823.22 and 1,365.57

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Solution

The fourth proportional to 3,213.95, 4,823.22 and 1,365.57 is: 2,049.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.95 : 4,823.22 = 1,365.57 : x
  2. Step 2: Convert to fraction form
    3,213.95/4,823.22 = 1,365.57/x
  3. Step 3: Cross multiply
    3,213.95x = 4,823.22 × 1,365.57
  4. Step 4: Simplify right side
    3,213.95x = 6,586,444.54
  5. Step 5: Solve for x
    x = 6,586,444.54/3,213.95
  6. Step 6: Final answer
    x = 2,049.33

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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.