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Finding the Fourth Proportional to 5,382.68, 8,077.71 and 2,095.79

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Solution

The fourth proportional to 5,382.68, 8,077.71 and 2,095.79 is: 3,145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.68 : 8,077.71 = 2,095.79 : x
  2. Step 2: Convert to fraction form
    5,382.68/8,077.71 = 2,095.79/x
  3. Step 3: Cross multiply
    5,382.68x = 8,077.71 × 2,095.79
  4. Step 4: Simplify right side
    5,382.68x = 16,929,183.84
  5. Step 5: Solve for x
    x = 16,929,183.84/5,382.68
  6. Step 6: Final answer
    x = 3,145.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.