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Finding the Fourth Proportional to 3,891.67, 5,834.19 and 1,698.76

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Solution

The fourth proportional to 3,891.67, 5,834.19 and 1,698.76 is: 2,546.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.67 : 5,834.19 = 1,698.76 : x
  2. Step 2: Convert to fraction form
    3,891.67/5,834.19 = 1,698.76/x
  3. Step 3: Cross multiply
    3,891.67x = 5,834.19 × 1,698.76
  4. Step 4: Simplify right side
    3,891.67x = 9,910,888.60
  5. Step 5: Solve for x
    x = 9,910,888.60/3,891.67
  6. Step 6: Final answer
    x = 2,546.69

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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.