Home / 2,386.23-3,578.31-825.95

Finding the Fourth Proportional to 2,386.23, 3,578.31 and 825.95

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Solution

The fourth proportional to 2,386.23, 3,578.31 and 825.95 is: 1,238.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.23 : 3,578.31 = 825.95 : x
  2. Step 2: Convert to fraction form
    2,386.23/3,578.31 = 825.95/x
  3. Step 3: Cross multiply
    2,386.23x = 3,578.31 × 825.95
  4. Step 4: Simplify right side
    2,386.23x = 2,955,487.25
  5. Step 5: Solve for x
    x = 2,955,487.25/2,386.23
  6. Step 6: Final answer
    x = 1,238.56

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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.