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Finding the Fourth Proportional to 2,872.77, 3,962.86 and 1,849

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Solution

The fourth proportional to 2,872.77, 3,962.86 and 1,849 is: 2,550.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.77 : 3,962.86 = 1,849 : x
  2. Step 2: Convert to fraction form
    2,872.77/3,962.86 = 1,849/x
  3. Step 3: Cross multiply
    2,872.77x = 3,962.86 × 1,849
  4. Step 4: Simplify right side
    2,872.77x = 7,327,328.14
  5. Step 5: Solve for x
    x = 7,327,328.14/2,872.77
  6. Step 6: Final answer
    x = 2,550.61

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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.