Home / 1,414.26-1,947.56-1,324

Finding the Fourth Proportional to 1,414.26, 1,947.56 and 1,324

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Solution

The fourth proportional to 1,414.26, 1,947.56 and 1,324 is: 1,823.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.26 : 1,947.56 = 1,324 : x
  2. Step 2: Convert to fraction form
    1,414.26/1,947.56 = 1,324/x
  3. Step 3: Cross multiply
    1,414.26x = 1,947.56 × 1,324
  4. Step 4: Simplify right side
    1,414.26x = 2,578,562.82
  5. Step 5: Solve for x
    x = 2,578,562.82/1,414.26
  6. Step 6: Final answer
    x = 1,823.27

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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.