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Finding the Fourth Proportional to 6,074.30, 8,378.16 and 4,085.75

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Solution

The fourth proportional to 6,074.30, 8,378.16 and 4,085.75 is: 5,635.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.30 : 8,378.16 = 4,085.75 : x
  2. Step 2: Convert to fraction form
    6,074.30/8,378.16 = 4,085.75/x
  3. Step 3: Cross multiply
    6,074.30x = 8,378.16 × 4,085.75
  4. Step 4: Simplify right side
    6,074.30x = 34,231,067.22
  5. Step 5: Solve for x
    x = 34,231,067.22/6,074.30
  6. Step 6: Final answer
    x = 5,635.39

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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.