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Finding the Fourth Proportional to 6,409.60, 8,846.22 and 4,640.56

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Solution

The fourth proportional to 6,409.60, 8,846.22 and 4,640.56 is: 6,404.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.60 : 8,846.22 = 4,640.56 : x
  2. Step 2: Convert to fraction form
    6,409.60/8,846.22 = 4,640.56/x
  3. Step 3: Cross multiply
    6,409.60x = 8,846.22 × 4,640.56
  4. Step 4: Simplify right side
    6,409.60x = 41,051,414.68
  5. Step 5: Solve for x
    x = 41,051,414.68/6,409.60
  6. Step 6: Final answer
    x = 6,404.68

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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.