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Finding the Fourth Proportional to 6,120.96, 8,446.64 and 3,602.96

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Solution

The fourth proportional to 6,120.96, 8,446.64 and 3,602.96 is: 4,971.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,120.96 : 8,446.64 = 3,602.96 : x
  2. Step 2: Convert to fraction form
    6,120.96/8,446.64 = 3,602.96/x
  3. Step 3: Cross multiply
    6,120.96x = 8,446.64 × 3,602.96
  4. Step 4: Simplify right side
    6,120.96x = 30,432,906.05
  5. Step 5: Solve for x
    x = 30,432,906.05/6,120.96
  6. Step 6: Final answer
    x = 4,971.92

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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.