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Finding the Fourth Proportional to 6,409.46, 8,845.17 and 3,758.78

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Solution

The fourth proportional to 6,409.46, 8,845.17 and 3,758.78 is: 5,187.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.46 : 8,845.17 = 3,758.78 : x
  2. Step 2: Convert to fraction form
    6,409.46/8,845.17 = 3,758.78/x
  3. Step 3: Cross multiply
    6,409.46x = 8,845.17 × 3,758.78
  4. Step 4: Simplify right side
    6,409.46x = 33,247,048.09
  5. Step 5: Solve for x
    x = 33,247,048.09/6,409.46
  6. Step 6: Final answer
    x = 5,187.18

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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.