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Finding the Fourth Proportional to 6,409.56, 8,843.84 and 3,892.98

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Solution

The fourth proportional to 6,409.56, 8,843.84 and 3,892.98 is: 5,371.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.56 : 8,843.84 = 3,892.98 : x
  2. Step 2: Convert to fraction form
    6,409.56/8,843.84 = 3,892.98/x
  3. Step 3: Cross multiply
    6,409.56x = 8,843.84 × 3,892.98
  4. Step 4: Simplify right side
    6,409.56x = 34,428,892.24
  5. Step 5: Solve for x
    x = 34,428,892.24/6,409.56
  6. Step 6: Final answer
    x = 5,371.49

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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.