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Finding the Fourth Proportional to 3,651.92, 5,039.64 and 2,080

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Solution

The fourth proportional to 3,651.92, 5,039.64 and 2,080 is: 2,870.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.92 : 5,039.64 = 2,080 : x
  2. Step 2: Convert to fraction form
    3,651.92/5,039.64 = 2,080/x
  3. Step 3: Cross multiply
    3,651.92x = 5,039.64 × 2,080
  4. Step 4: Simplify right side
    3,651.92x = 10,482,451.20
  5. Step 5: Solve for x
    x = 10,482,451.20/3,651.92
  6. Step 6: Final answer
    x = 2,870.39

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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.