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Finding the Fourth Proportional to 3,776.99, 5,211.87 and 2,206

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Solution

The fourth proportional to 3,776.99, 5,211.87 and 2,206 is: 3,044.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.99 : 5,211.87 = 2,206 : x
  2. Step 2: Convert to fraction form
    3,776.99/5,211.87 = 2,206/x
  3. Step 3: Cross multiply
    3,776.99x = 5,211.87 × 2,206
  4. Step 4: Simplify right side
    3,776.99x = 11,497,385.22
  5. Step 5: Solve for x
    x = 11,497,385.22/3,776.99
  6. Step 6: Final answer
    x = 3,044.06

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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.