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Finding the Fourth Proportional to 1,647, 2,452.88 and 1,589.56

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Solution

The fourth proportional to 1,647, 2,452.88 and 1,589.56 is: 2,367.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647 : 2,452.88 = 1,589.56 : x
  2. Step 2: Convert to fraction form
    1,647/2,452.88 = 1,589.56/x
  3. Step 3: Cross multiply
    1,647x = 2,452.88 × 1,589.56
  4. Step 4: Simplify right side
    1,647x = 3,898,999.93
  5. Step 5: Solve for x
    x = 3,898,999.93/1,647
  6. Step 6: Final answer
    x = 2,367.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.