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Finding the Fourth Proportional to 6,949.96, 9,590.42 and 3,965.20

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Solution

The fourth proportional to 6,949.96, 9,590.42 and 3,965.20 is: 5,471.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.96 : 9,590.42 = 3,965.20 : x
  2. Step 2: Convert to fraction form
    6,949.96/9,590.42 = 3,965.20/x
  3. Step 3: Cross multiply
    6,949.96x = 9,590.42 × 3,965.20
  4. Step 4: Simplify right side
    6,949.96x = 38,027,919.32
  5. Step 5: Solve for x
    x = 38,027,919.32/6,949.96
  6. Step 6: Final answer
    x = 5,471.68

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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.