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Finding the Fourth Proportional to 3,107.75, 4,661.61 and 1,258.85

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Solution

The fourth proportional to 3,107.75, 4,661.61 and 1,258.85 is: 1,888.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.75 : 4,661.61 = 1,258.85 : x
  2. Step 2: Convert to fraction form
    3,107.75/4,661.61 = 1,258.85/x
  3. Step 3: Cross multiply
    3,107.75x = 4,661.61 × 1,258.85
  4. Step 4: Simplify right side
    3,107.75x = 5,868,267.75
  5. Step 5: Solve for x
    x = 5,868,267.75/3,107.75
  6. Step 6: Final answer
    x = 1,888.27

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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.