Home / 2,512.40-3,769.52-1,214

Finding the Fourth Proportional to 2,512.40, 3,769.52 and 1,214

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Solution

The fourth proportional to 2,512.40, 3,769.52 and 1,214 is: 1,821.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.40 : 3,769.52 = 1,214 : x
  2. Step 2: Convert to fraction form
    2,512.40/3,769.52 = 1,214/x
  3. Step 3: Cross multiply
    2,512.40x = 3,769.52 × 1,214
  4. Step 4: Simplify right side
    2,512.40x = 4,576,197.28
  5. Step 5: Solve for x
    x = 4,576,197.28/2,512.40
  6. Step 6: Final answer
    x = 1,821.44

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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.