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Finding the Fourth Proportional to 2,561.81, 3,843.12 and 918.32

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Solution

The fourth proportional to 2,561.81, 3,843.12 and 918.32 is: 1,377.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.81 : 3,843.12 = 918.32 : x
  2. Step 2: Convert to fraction form
    2,561.81/3,843.12 = 918.32/x
  3. Step 3: Cross multiply
    2,561.81x = 3,843.12 × 918.32
  4. Step 4: Simplify right side
    2,561.81x = 3,529,213.96
  5. Step 5: Solve for x
    x = 3,529,213.96/2,561.81
  6. Step 6: Final answer
    x = 1,377.63

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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.