Home / 1,921.64-2,882.16-1,233.12

Finding the Fourth Proportional to 1,921.64, 2,882.16 and 1,233.12

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Solution

The fourth proportional to 1,921.64, 2,882.16 and 1,233.12 is: 1,849.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.64 : 2,882.16 = 1,233.12 : x
  2. Step 2: Convert to fraction form
    1,921.64/2,882.16 = 1,233.12/x
  3. Step 3: Cross multiply
    1,921.64x = 2,882.16 × 1,233.12
  4. Step 4: Simplify right side
    1,921.64x = 3,554,042.97
  5. Step 5: Solve for x
    x = 3,554,042.97/1,921.64
  6. Step 6: Final answer
    x = 1,849.49

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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.