Home / 2,262.78-3,390.17-1,982

Finding the Fourth Proportional to 2,262.78, 3,390.17 and 1,982

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Solution

The fourth proportional to 2,262.78, 3,390.17 and 1,982 is: 2,969.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.78 : 3,390.17 = 1,982 : x
  2. Step 2: Convert to fraction form
    2,262.78/3,390.17 = 1,982/x
  3. Step 3: Cross multiply
    2,262.78x = 3,390.17 × 1,982
  4. Step 4: Simplify right side
    2,262.78x = 6,719,316.94
  5. Step 5: Solve for x
    x = 6,719,316.94/2,262.78
  6. Step 6: Final answer
    x = 2,969.50

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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.