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Finding the Fourth Proportional to 5,221.46, 7,808.96 and 4,640.54

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Solution

The fourth proportional to 5,221.46, 7,808.96 and 4,640.54 is: 6,940.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.46 : 7,808.96 = 4,640.54 : x
  2. Step 2: Convert to fraction form
    5,221.46/7,808.96 = 4,640.54/x
  3. Step 3: Cross multiply
    5,221.46x = 7,808.96 × 4,640.54
  4. Step 4: Simplify right side
    5,221.46x = 36,237,781.62
  5. Step 5: Solve for x
    x = 36,237,781.62/5,221.46
  6. Step 6: Final answer
    x = 6,940.16

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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.