Home / 2,769.78-3,817.02-1,982.46

Finding the Fourth Proportional to 2,769.78, 3,817.02 and 1,982.46

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Solution

The fourth proportional to 2,769.78, 3,817.02 and 1,982.46 is: 2,732.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.78 : 3,817.02 = 1,982.46 : x
  2. Step 2: Convert to fraction form
    2,769.78/3,817.02 = 1,982.46/x
  3. Step 3: Cross multiply
    2,769.78x = 3,817.02 × 1,982.46
  4. Step 4: Simplify right side
    2,769.78x = 7,567,089.47
  5. Step 5: Solve for x
    x = 7,567,089.47/2,769.78
  6. Step 6: Final answer
    x = 2,732.02

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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.