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Finding the Fourth Proportional to 1,889.12, 2,832.87 and 734.06

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Solution

The fourth proportional to 1,889.12, 2,832.87 and 734.06 is: 1,100.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.12 : 2,832.87 = 734.06 : x
  2. Step 2: Convert to fraction form
    1,889.12/2,832.87 = 734.06/x
  3. Step 3: Cross multiply
    1,889.12x = 2,832.87 × 734.06
  4. Step 4: Simplify right side
    1,889.12x = 2,079,506.39
  5. Step 5: Solve for x
    x = 2,079,506.39/1,889.12
  6. Step 6: Final answer
    x = 1,100.78

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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.