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Finding the Fourth Proportional to 3,382.12, 5,075 and 1,650.74

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Solution

The fourth proportional to 3,382.12, 5,075 and 1,650.74 is: 2,477.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.12 : 5,075 = 1,650.74 : x
  2. Step 2: Convert to fraction form
    3,382.12/5,075 = 1,650.74/x
  3. Step 3: Cross multiply
    3,382.12x = 5,075 × 1,650.74
  4. Step 4: Simplify right side
    3,382.12x = 8,377,505.50
  5. Step 5: Solve for x
    x = 8,377,505.50/3,382.12
  6. Step 6: Final answer
    x = 2,477.00

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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.