Home / 2,144.43-3,214.76-1,412.46

Finding the Fourth Proportional to 2,144.43, 3,214.76 and 1,412.46

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Solution

The fourth proportional to 2,144.43, 3,214.76 and 1,412.46 is: 2,117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.43 : 3,214.76 = 1,412.46 : x
  2. Step 2: Convert to fraction form
    2,144.43/3,214.76 = 1,412.46/x
  3. Step 3: Cross multiply
    2,144.43x = 3,214.76 × 1,412.46
  4. Step 4: Simplify right side
    2,144.43x = 4,540,712.85
  5. Step 5: Solve for x
    x = 4,540,712.85/2,144.43
  6. Step 6: Final answer
    x = 2,117.45

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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.