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Finding the Fourth Proportional to 6,416.75, 8,855.12 and 3,622.43

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Solution

The fourth proportional to 6,416.75, 8,855.12 and 3,622.43 is: 4,998.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.75 : 8,855.12 = 3,622.43 : x
  2. Step 2: Convert to fraction form
    6,416.75/8,855.12 = 3,622.43/x
  3. Step 3: Cross multiply
    6,416.75x = 8,855.12 × 3,622.43
  4. Step 4: Simplify right side
    6,416.75x = 32,077,052.34
  5. Step 5: Solve for x
    x = 32,077,052.34/6,416.75
  6. Step 6: Final answer
    x = 4,998.96

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Half scale
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Double scale
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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.