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Finding the Fourth Proportional to 2,091.72, 3,138.54 and 1,066.44

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Solution

The fourth proportional to 2,091.72, 3,138.54 and 1,066.44 is: 1,600.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.72 : 3,138.54 = 1,066.44 : x
  2. Step 2: Convert to fraction form
    2,091.72/3,138.54 = 1,066.44/x
  3. Step 3: Cross multiply
    2,091.72x = 3,138.54 × 1,066.44
  4. Step 4: Simplify right side
    2,091.72x = 3,347,064.60
  5. Step 5: Solve for x
    x = 3,347,064.60/2,091.72
  6. Step 6: Final answer
    x = 1,600.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.