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Finding the Fourth Proportional to 5,178.99, 7,767.18 and 1,481.24

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Solution

The fourth proportional to 5,178.99, 7,767.18 and 1,481.24 is: 2,221.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.99 : 7,767.18 = 1,481.24 : x
  2. Step 2: Convert to fraction form
    5,178.99/7,767.18 = 1,481.24/x
  3. Step 3: Cross multiply
    5,178.99x = 7,767.18 × 1,481.24
  4. Step 4: Simplify right side
    5,178.99x = 11,505,077.12
  5. Step 5: Solve for x
    x = 11,505,077.12/5,178.99
  6. Step 6: Final answer
    x = 2,221.49

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Half scale
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Double scale
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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.