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Finding the Fourth Proportional to 3,751.64, 5,627.85 and 1,286.66

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Solution

The fourth proportional to 3,751.64, 5,627.85 and 1,286.66 is: 1,930.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.64 : 5,627.85 = 1,286.66 : x
  2. Step 2: Convert to fraction form
    3,751.64/5,627.85 = 1,286.66/x
  3. Step 3: Cross multiply
    3,751.64x = 5,627.85 × 1,286.66
  4. Step 4: Simplify right side
    3,751.64x = 7,241,133.75
  5. Step 5: Solve for x
    x = 7,241,133.75/3,751.64
  6. Step 6: Final answer
    x = 1,930.12

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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.