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Finding the Fourth Proportional to 3,776.61, 5,211.61 and 2,097.97

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Solution

The fourth proportional to 3,776.61, 5,211.61 and 2,097.97 is: 2,895.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.61 : 5,211.61 = 2,097.97 : x
  2. Step 2: Convert to fraction form
    3,776.61/5,211.61 = 2,097.97/x
  3. Step 3: Cross multiply
    3,776.61x = 5,211.61 × 2,097.97
  4. Step 4: Simplify right side
    3,776.61x = 10,933,790.94
  5. Step 5: Solve for x
    x = 10,933,790.94/3,776.61
  6. Step 6: Final answer
    x = 2,895.14

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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.