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Finding the Fourth Proportional to 2,144.52, 2,959 and 1,212.84

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Solution

The fourth proportional to 2,144.52, 2,959 and 1,212.84 is: 1,673.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.52 : 2,959 = 1,212.84 : x
  2. Step 2: Convert to fraction form
    2,144.52/2,959 = 1,212.84/x
  3. Step 3: Cross multiply
    2,144.52x = 2,959 × 1,212.84
  4. Step 4: Simplify right side
    2,144.52x = 3,588,793.56
  5. Step 5: Solve for x
    x = 3,588,793.56/2,144.52
  6. Step 6: Final answer
    x = 1,673.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.