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Finding the Fourth Proportional to 1,845.77, 2,761.77 and 1,115.87

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Solution

The fourth proportional to 1,845.77, 2,761.77 and 1,115.87 is: 1,669.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.77 : 2,761.77 = 1,115.87 : x
  2. Step 2: Convert to fraction form
    1,845.77/2,761.77 = 1,115.87/x
  3. Step 3: Cross multiply
    1,845.77x = 2,761.77 × 1,115.87
  4. Step 4: Simplify right side
    1,845.77x = 3,081,776.29
  5. Step 5: Solve for x
    x = 3,081,776.29/1,845.77
  6. Step 6: Final answer
    x = 1,669.64

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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.