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Finding the Fourth Proportional to 1,920.49, 2,650.49 and 1,081.22

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Solution

The fourth proportional to 1,920.49, 2,650.49 and 1,081.22 is: 1,492.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.49 : 2,650.49 = 1,081.22 : x
  2. Step 2: Convert to fraction form
    1,920.49/2,650.49 = 1,081.22/x
  3. Step 3: Cross multiply
    1,920.49x = 2,650.49 × 1,081.22
  4. Step 4: Simplify right side
    1,920.49x = 2,865,762.80
  5. Step 5: Solve for x
    x = 2,865,762.80/1,920.49
  6. Step 6: Final answer
    x = 1,492.20

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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.