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Finding the Fourth Proportional to 2,143.75, 3,216.54 and 911.43

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Solution

The fourth proportional to 2,143.75, 3,216.54 and 911.43 is: 1,367.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.75 : 3,216.54 = 911.43 : x
  2. Step 2: Convert to fraction form
    2,143.75/3,216.54 = 911.43/x
  3. Step 3: Cross multiply
    2,143.75x = 3,216.54 × 911.43
  4. Step 4: Simplify right side
    2,143.75x = 2,931,651.05
  5. Step 5: Solve for x
    x = 2,931,651.05/2,143.75
  6. Step 6: Final answer
    x = 1,367.53

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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.