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Finding the Fourth Proportional to 2,128.77, 3,193.48 and 667.78

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Solution

The fourth proportional to 2,128.77, 3,193.48 and 667.78 is: 1,001.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.77 : 3,193.48 = 667.78 : x
  2. Step 2: Convert to fraction form
    2,128.77/3,193.48 = 667.78/x
  3. Step 3: Cross multiply
    2,128.77x = 3,193.48 × 667.78
  4. Step 4: Simplify right side
    2,128.77x = 2,132,546.90
  5. Step 5: Solve for x
    x = 2,132,546.90/2,128.77
  6. Step 6: Final answer
    x = 1,001.77

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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.