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Finding the Fourth Proportional to 6,400.31, 8,832.94 and 3,568.60

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Solution

The fourth proportional to 6,400.31, 8,832.94 and 3,568.60 is: 4,924.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.31 : 8,832.94 = 3,568.60 : x
  2. Step 2: Convert to fraction form
    6,400.31/8,832.94 = 3,568.60/x
  3. Step 3: Cross multiply
    6,400.31x = 8,832.94 × 3,568.60
  4. Step 4: Simplify right side
    6,400.31x = 31,521,229.68
  5. Step 5: Solve for x
    x = 31,521,229.68/6,400.31
  6. Step 6: Final answer
    x = 4,924.95

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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.