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Finding the Fourth Proportional to 6,321.87, 8,728.29 and 5,657.58

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Solution

The fourth proportional to 6,321.87, 8,728.29 and 5,657.58 is: 7,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.87 : 8,728.29 = 5,657.58 : x
  2. Step 2: Convert to fraction form
    6,321.87/8,728.29 = 5,657.58/x
  3. Step 3: Cross multiply
    6,321.87x = 8,728.29 × 5,657.58
  4. Step 4: Simplify right side
    6,321.87x = 49,380,998.94
  5. Step 5: Solve for x
    x = 49,380,998.94/6,321.87
  6. Step 6: Final answer
    x = 7,811.14

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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.