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Finding the Fourth Proportional to 3,776.63, 5,665.14 and 2,677.86

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Solution

The fourth proportional to 3,776.63, 5,665.14 and 2,677.86 is: 4,016.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.63 : 5,665.14 = 2,677.86 : x
  2. Step 2: Convert to fraction form
    3,776.63/5,665.14 = 2,677.86/x
  3. Step 3: Cross multiply
    3,776.63x = 5,665.14 × 2,677.86
  4. Step 4: Simplify right side
    3,776.63x = 15,170,451.80
  5. Step 5: Solve for x
    x = 15,170,451.80/3,776.63
  6. Step 6: Final answer
    x = 4,016.93

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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.