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Finding the Fourth Proportional to 2,578.50, 3,559.14 and 1,647

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Solution

The fourth proportional to 2,578.50, 3,559.14 and 1,647 is: 2,273.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.50 : 3,559.14 = 1,647 : x
  2. Step 2: Convert to fraction form
    2,578.50/3,559.14 = 1,647/x
  3. Step 3: Cross multiply
    2,578.50x = 3,559.14 × 1,647
  4. Step 4: Simplify right side
    2,578.50x = 5,861,903.58
  5. Step 5: Solve for x
    x = 5,861,903.58/2,578.50
  6. Step 6: Final answer
    x = 2,273.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.