Home / 2,072.11-3,109.02-839.21

Finding the Fourth Proportional to 2,072.11, 3,109.02 and 839.21

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Solution

The fourth proportional to 2,072.11, 3,109.02 and 839.21 is: 1,259.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.11 : 3,109.02 = 839.21 : x
  2. Step 2: Convert to fraction form
    2,072.11/3,109.02 = 839.21/x
  3. Step 3: Cross multiply
    2,072.11x = 3,109.02 × 839.21
  4. Step 4: Simplify right side
    2,072.11x = 2,609,112.53
  5. Step 5: Solve for x
    x = 2,609,112.53/2,072.11
  6. Step 6: Final answer
    x = 1,259.16

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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.