Home / 2,422-3,342.14-1,374.20

Finding the Fourth Proportional to 2,422, 3,342.14 and 1,374.20

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Solution

The fourth proportional to 2,422, 3,342.14 and 1,374.20 is: 1,896.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422 : 3,342.14 = 1,374.20 : x
  2. Step 2: Convert to fraction form
    2,422/3,342.14 = 1,374.20/x
  3. Step 3: Cross multiply
    2,422x = 3,342.14 × 1,374.20
  4. Step 4: Simplify right side
    2,422x = 4,592,768.79
  5. Step 5: Solve for x
    x = 4,592,768.79/2,422
  6. Step 6: Final answer
    x = 1,896.27

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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.