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Finding the Fourth Proportional to 6,224.78, 8,578.37 and 4,453.31

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Solution

The fourth proportional to 6,224.78, 8,578.37 and 4,453.31 is: 6,137.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.78 : 8,578.37 = 4,453.31 : x
  2. Step 2: Convert to fraction form
    6,224.78/8,578.37 = 4,453.31/x
  3. Step 3: Cross multiply
    6,224.78x = 8,578.37 × 4,453.31
  4. Step 4: Simplify right side
    6,224.78x = 38,202,140.90
  5. Step 5: Solve for x
    x = 38,202,140.90/6,224.78
  6. Step 6: Final answer
    x = 6,137.11

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1.5x scale

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.