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Finding the Fourth Proportional to 5,382.48, 8,069.76 and 1,682.64

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Solution

The fourth proportional to 5,382.48, 8,069.76 and 1,682.64 is: 2,522.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.48 : 8,069.76 = 1,682.64 : x
  2. Step 2: Convert to fraction form
    5,382.48/8,069.76 = 1,682.64/x
  3. Step 3: Cross multiply
    5,382.48x = 8,069.76 × 1,682.64
  4. Step 4: Simplify right side
    5,382.48x = 13,578,500.97
  5. Step 5: Solve for x
    x = 13,578,500.97/5,382.48
  6. Step 6: Final answer
    x = 2,522.72

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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.