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Finding the Fourth Proportional to 3,412.99, 5,119.47 and 1,073.20

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Solution

The fourth proportional to 3,412.99, 5,119.47 and 1,073.20 is: 1,609.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.99 : 5,119.47 = 1,073.20 : x
  2. Step 2: Convert to fraction form
    3,412.99/5,119.47 = 1,073.20/x
  3. Step 3: Cross multiply
    3,412.99x = 5,119.47 × 1,073.20
  4. Step 4: Simplify right side
    3,412.99x = 5,494,194.93
  5. Step 5: Solve for x
    x = 5,494,194.93/3,412.99
  6. Step 6: Final answer
    x = 1,609.79

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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.