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Finding the Fourth Proportional to 5,189.74, 7,789.48 and 2,418.32

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Solution

The fourth proportional to 5,189.74, 7,789.48 and 2,418.32 is: 3,629.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.74 : 7,789.48 = 2,418.32 : x
  2. Step 2: Convert to fraction form
    5,189.74/7,789.48 = 2,418.32/x
  3. Step 3: Cross multiply
    5,189.74x = 7,789.48 × 2,418.32
  4. Step 4: Simplify right side
    5,189.74x = 18,837,455.27
  5. Step 5: Solve for x
    x = 18,837,455.27/5,189.74
  6. Step 6: Final answer
    x = 3,629.75

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1.5x scale

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.