Home / 1,422.16-1,974.28-1,382.08

Finding the Fourth Proportional to 1,422.16, 1,974.28 and 1,382.08

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Solution

The fourth proportional to 1,422.16, 1,974.28 and 1,382.08 is: 1,918.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.16 : 1,974.28 = 1,382.08 : x
  2. Step 2: Convert to fraction form
    1,422.16/1,974.28 = 1,382.08/x
  3. Step 3: Cross multiply
    1,422.16x = 1,974.28 × 1,382.08
  4. Step 4: Simplify right side
    1,422.16x = 2,728,612.90
  5. Step 5: Solve for x
    x = 2,728,612.90/1,422.16
  6. Step 6: Final answer
    x = 1,918.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.