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Finding the Fourth Proportional to 6,847.68, 9,449.76 and 3,863.54

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Solution

The fourth proportional to 6,847.68, 9,449.76 and 3,863.54 is: 5,331.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.68 : 9,449.76 = 3,863.54 : x
  2. Step 2: Convert to fraction form
    6,847.68/9,449.76 = 3,863.54/x
  3. Step 3: Cross multiply
    6,847.68x = 9,449.76 × 3,863.54
  4. Step 4: Simplify right side
    6,847.68x = 36,509,525.75
  5. Step 5: Solve for x
    x = 36,509,525.75/6,847.68
  6. Step 6: Final answer
    x = 5,331.66

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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.