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Finding the Fourth Proportional to 2,803.86, 3,865.30 and 2,006.96

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Solution

The fourth proportional to 2,803.86, 3,865.30 and 2,006.96 is: 2,766.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.86 : 3,865.30 = 2,006.96 : x
  2. Step 2: Convert to fraction form
    2,803.86/3,865.30 = 2,006.96/x
  3. Step 3: Cross multiply
    2,803.86x = 3,865.30 × 2,006.96
  4. Step 4: Simplify right side
    2,803.86x = 7,757,502.49
  5. Step 5: Solve for x
    x = 7,757,502.49/2,803.86
  6. Step 6: Final answer
    x = 2,766.72

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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.