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Finding the Fourth Proportional to 2,066.22, 3,098.07 and 833.40

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Solution

The fourth proportional to 2,066.22, 3,098.07 and 833.40 is: 1,249.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.22 : 3,098.07 = 833.40 : x
  2. Step 2: Convert to fraction form
    2,066.22/3,098.07 = 833.40/x
  3. Step 3: Cross multiply
    2,066.22x = 3,098.07 × 833.40
  4. Step 4: Simplify right side
    2,066.22x = 2,581,931.54
  5. Step 5: Solve for x
    x = 2,581,931.54/2,066.22
  6. Step 6: Final answer
    x = 1,249.59

Related Problems

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Half scale
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Double scale
Find fourth proportional to 2,067.22, 3,099.57 and 834.40
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.