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Finding the Fourth Proportional to 2,142.24, 3,212.15 and 843

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Solution

The fourth proportional to 2,142.24, 3,212.15 and 843 is: 1,264.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.24 : 3,212.15 = 843 : x
  2. Step 2: Convert to fraction form
    2,142.24/3,212.15 = 843/x
  3. Step 3: Cross multiply
    2,142.24x = 3,212.15 × 843
  4. Step 4: Simplify right side
    2,142.24x = 2,707,838.24
  5. Step 5: Solve for x
    x = 2,707,838.24/2,142.24
  6. Step 6: Final answer
    x = 1,264.02

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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.