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Finding the Fourth Proportional to 3,798.87, 5,699.67 and 2,711.76

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Solution

The fourth proportional to 3,798.87, 5,699.67 and 2,711.76 is: 4,068.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.87 : 5,699.67 = 2,711.76 : x
  2. Step 2: Convert to fraction form
    3,798.87/5,699.67 = 2,711.76/x
  3. Step 3: Cross multiply
    3,798.87x = 5,699.67 × 2,711.76
  4. Step 4: Simplify right side
    3,798.87x = 15,456,137.12
  5. Step 5: Solve for x
    x = 15,456,137.12/3,798.87
  6. Step 6: Final answer
    x = 4,068.61

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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.