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Finding the Fourth Proportional to 1,920.31, 2,883.20 and 1,832.22

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Solution

The fourth proportional to 1,920.31, 2,883.20 and 1,832.22 is: 2,750.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.31 : 2,883.20 = 1,832.22 : x
  2. Step 2: Convert to fraction form
    1,920.31/2,883.20 = 1,832.22/x
  3. Step 3: Cross multiply
    1,920.31x = 2,883.20 × 1,832.22
  4. Step 4: Simplify right side
    1,920.31x = 5,282,647.54
  5. Step 5: Solve for x
    x = 5,282,647.54/1,920.31
  6. Step 6: Final answer
    x = 2,750.94

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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.