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Finding the Fourth Proportional to 8,406.64, 11,601 and 5,753.98

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Solution

The fourth proportional to 8,406.64, 11,601 and 5,753.98 is: 7,940.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.64 : 11,601 = 5,753.98 : x
  2. Step 2: Convert to fraction form
    8,406.64/11,601 = 5,753.98/x
  3. Step 3: Cross multiply
    8,406.64x = 11,601 × 5,753.98
  4. Step 4: Simplify right side
    8,406.64x = 66,751,921.98
  5. Step 5: Solve for x
    x = 66,751,921.98/8,406.64
  6. Step 6: Final answer
    x = 7,940.38

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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.