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Finding the Fourth Proportional to 3,382.50, 5,074.39 and 1,558.50

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Solution

The fourth proportional to 3,382.50, 5,074.39 and 1,558.50 is: 2,338.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.50 : 5,074.39 = 1,558.50 : x
  2. Step 2: Convert to fraction form
    3,382.50/5,074.39 = 1,558.50/x
  3. Step 3: Cross multiply
    3,382.50x = 5,074.39 × 1,558.50
  4. Step 4: Simplify right side
    3,382.50x = 7,908,436.82
  5. Step 5: Solve for x
    x = 7,908,436.82/3,382.50
  6. Step 6: Final answer
    x = 2,338.04

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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.