Home / 2,982-4,112.28-2,317.80

Finding the Fourth Proportional to 2,982, 4,112.28 and 2,317.80

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Solution

The fourth proportional to 2,982, 4,112.28 and 2,317.80 is: 3,196.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982 : 4,112.28 = 2,317.80 : x
  2. Step 2: Convert to fraction form
    2,982/4,112.28 = 2,317.80/x
  3. Step 3: Cross multiply
    2,982x = 4,112.28 × 2,317.80
  4. Step 4: Simplify right side
    2,982x = 9,531,442.58
  5. Step 5: Solve for x
    x = 9,531,442.58/2,982
  6. Step 6: Final answer
    x = 3,196.33

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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.