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Finding the Fourth Proportional to 1,920.88, 2,882.42 and 810.22

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Solution

The fourth proportional to 1,920.88, 2,882.42 and 810.22 is: 1,215.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.88 : 2,882.42 = 810.22 : x
  2. Step 2: Convert to fraction form
    1,920.88/2,882.42 = 810.22/x
  3. Step 3: Cross multiply
    1,920.88x = 2,882.42 × 810.22
  4. Step 4: Simplify right side
    1,920.88x = 2,335,389.15
  5. Step 5: Solve for x
    x = 2,335,389.15/1,920.88
  6. Step 6: Final answer
    x = 1,215.79

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1.5x scale

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.