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Finding the Fourth Proportional to 1,920.43, 2,648.90 and 1,173.44

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Solution

The fourth proportional to 1,920.43, 2,648.90 and 1,173.44 is: 1,618.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.43 : 2,648.90 = 1,173.44 : x
  2. Step 2: Convert to fraction form
    1,920.43/2,648.90 = 1,173.44/x
  3. Step 3: Cross multiply
    1,920.43x = 2,648.90 × 1,173.44
  4. Step 4: Simplify right side
    1,920.43x = 3,108,325.22
  5. Step 5: Solve for x
    x = 3,108,325.22/1,920.43
  6. Step 6: Final answer
    x = 1,618.56

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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.