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Finding the Fourth Proportional to 3,462.91, 4,778.83 and 1,891

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Solution

The fourth proportional to 3,462.91, 4,778.83 and 1,891 is: 2,609.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.91 : 4,778.83 = 1,891 : x
  2. Step 2: Convert to fraction form
    3,462.91/4,778.83 = 1,891/x
  3. Step 3: Cross multiply
    3,462.91x = 4,778.83 × 1,891
  4. Step 4: Simplify right side
    3,462.91x = 9,036,767.53
  5. Step 5: Solve for x
    x = 9,036,767.53/3,462.91
  6. Step 6: Final answer
    x = 2,609.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.