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Finding the Fourth Proportional to 6,410.73, 8,847.26 and 3,578.30

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Solution

The fourth proportional to 6,410.73, 8,847.26 and 3,578.30 is: 4,938.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.73 : 8,847.26 = 3,578.30 : x
  2. Step 2: Convert to fraction form
    6,410.73/8,847.26 = 3,578.30/x
  3. Step 3: Cross multiply
    6,410.73x = 8,847.26 × 3,578.30
  4. Step 4: Simplify right side
    6,410.73x = 31,658,088.33
  5. Step 5: Solve for x
    x = 31,658,088.33/6,410.73
  6. Step 6: Final answer
    x = 4,938.30

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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.