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Finding the Fourth Proportional to 5,382, 8,069.04 and 2,049.66

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Solution

The fourth proportional to 5,382, 8,069.04 and 2,049.66 is: 3,072.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382 : 8,069.04 = 2,049.66 : x
  2. Step 2: Convert to fraction form
    5,382/8,069.04 = 2,049.66/x
  3. Step 3: Cross multiply
    5,382x = 8,069.04 × 2,049.66
  4. Step 4: Simplify right side
    5,382x = 16,538,788.53
  5. Step 5: Solve for x
    x = 16,538,788.53/5,382
  6. Step 6: Final answer
    x = 3,072.98

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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.