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Finding the Fourth Proportional to 2,761.77, 3,812.16 and 1,769.70

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Solution

The fourth proportional to 2,761.77, 3,812.16 and 1,769.70 is: 2,442.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.77 : 3,812.16 = 1,769.70 : x
  2. Step 2: Convert to fraction form
    2,761.77/3,812.16 = 1,769.70/x
  3. Step 3: Cross multiply
    2,761.77x = 3,812.16 × 1,769.70
  4. Step 4: Simplify right side
    2,761.77x = 6,746,379.55
  5. Step 5: Solve for x
    x = 6,746,379.55/2,761.77
  6. Step 6: Final answer
    x = 2,442.77

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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.