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Finding the Fourth Proportional to 6,489.48, 8,956.26 and 3,694.44

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Solution

The fourth proportional to 6,489.48, 8,956.26 and 3,694.44 is: 5,098.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.48 : 8,956.26 = 3,694.44 : x
  2. Step 2: Convert to fraction form
    6,489.48/8,956.26 = 3,694.44/x
  3. Step 3: Cross multiply
    6,489.48x = 8,956.26 × 3,694.44
  4. Step 4: Simplify right side
    6,489.48x = 33,088,365.19
  5. Step 5: Solve for x
    x = 33,088,365.19/6,489.48
  6. Step 6: Final answer
    x = 5,098.77

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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.