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Finding the Fourth Proportional to 2,789, 4,183.86 and 841.22

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Solution

The fourth proportional to 2,789, 4,183.86 and 841.22 is: 1,261.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789 : 4,183.86 = 841.22 : x
  2. Step 2: Convert to fraction form
    2,789/4,183.86 = 841.22/x
  3. Step 3: Cross multiply
    2,789x = 4,183.86 × 841.22
  4. Step 4: Simplify right side
    2,789x = 3,519,546.71
  5. Step 5: Solve for x
    x = 3,519,546.71/2,789
  6. Step 6: Final answer
    x = 1,261.94

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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.