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Finding the Fourth Proportional to 3,382.02, 5,065.74 and 1,647

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Solution

The fourth proportional to 3,382.02, 5,065.74 and 1,647 is: 2,466.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.02 : 5,065.74 = 1,647 : x
  2. Step 2: Convert to fraction form
    3,382.02/5,065.74 = 1,647/x
  3. Step 3: Cross multiply
    3,382.02x = 5,065.74 × 1,647
  4. Step 4: Simplify right side
    3,382.02x = 8,343,273.78
  5. Step 5: Solve for x
    x = 8,343,273.78/3,382.02
  6. Step 6: Final answer
    x = 2,466.95

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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.