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Finding the Fourth Proportional to 2,805.93, 3,872.76 and 1,861.78

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Solution

The fourth proportional to 2,805.93, 3,872.76 and 1,861.78 is: 2,569.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.93 : 3,872.76 = 1,861.78 : x
  2. Step 2: Convert to fraction form
    2,805.93/3,872.76 = 1,861.78/x
  3. Step 3: Cross multiply
    2,805.93x = 3,872.76 × 1,861.78
  4. Step 4: Simplify right side
    2,805.93x = 7,210,227.11
  5. Step 5: Solve for x
    x = 7,210,227.11/2,805.93
  6. Step 6: Final answer
    x = 2,569.64

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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.