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Finding the Fourth Proportional to 6,238.87, 8,609.64 and 3,586.80

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Solution

The fourth proportional to 6,238.87, 8,609.64 and 3,586.80 is: 4,949.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.87 : 8,609.64 = 3,586.80 : x
  2. Step 2: Convert to fraction form
    6,238.87/8,609.64 = 3,586.80/x
  3. Step 3: Cross multiply
    6,238.87x = 8,609.64 × 3,586.80
  4. Step 4: Simplify right side
    6,238.87x = 30,881,056.75
  5. Step 5: Solve for x
    x = 30,881,056.75/6,238.87
  6. Step 6: Final answer
    x = 4,949.78

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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.