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Finding the Fourth Proportional to 5,640.64, 8,460.96 and 4,096.96

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Solution

The fourth proportional to 5,640.64, 8,460.96 and 4,096.96 is: 6,145.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.64 : 8,460.96 = 4,096.96 : x
  2. Step 2: Convert to fraction form
    5,640.64/8,460.96 = 4,096.96/x
  3. Step 3: Cross multiply
    5,640.64x = 8,460.96 × 4,096.96
  4. Step 4: Simplify right side
    5,640.64x = 34,664,214.68
  5. Step 5: Solve for x
    x = 34,664,214.68/5,640.64
  6. Step 6: Final answer
    x = 6,145.44

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.