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Finding the Fourth Proportional to 3,430.92, 5,146.39 and 833.86

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Solution

The fourth proportional to 3,430.92, 5,146.39 and 833.86 is: 1,250.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.92 : 5,146.39 = 833.86 : x
  2. Step 2: Convert to fraction form
    3,430.92/5,146.39 = 833.86/x
  3. Step 3: Cross multiply
    3,430.92x = 5,146.39 × 833.86
  4. Step 4: Simplify right side
    3,430.92x = 4,291,343.03
  5. Step 5: Solve for x
    x = 4,291,343.03/3,430.92
  6. Step 6: Final answer
    x = 1,250.78

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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.