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Finding the Fourth Proportional to 2,066.14, 3,098.40 and 833.20

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Solution

The fourth proportional to 2,066.14, 3,098.40 and 833.20 is: 1,249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.14 : 3,098.40 = 833.20 : x
  2. Step 2: Convert to fraction form
    2,066.14/3,098.40 = 833.20/x
  3. Step 3: Cross multiply
    2,066.14x = 3,098.40 × 833.20
  4. Step 4: Simplify right side
    2,066.14x = 2,581,586.88
  5. Step 5: Solve for x
    x = 2,581,586.88/2,066.14
  6. Step 6: Final answer
    x = 1,249.47

Related Problems

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Half scale
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Double scale
Find fourth proportional to 2,067.14, 3,099.90 and 834.20
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.