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Finding the Fourth Proportional to 2,683.53, 4,025.30 and 834.45

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Solution

The fourth proportional to 2,683.53, 4,025.30 and 834.45 is: 1,251.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.53 : 4,025.30 = 834.45 : x
  2. Step 2: Convert to fraction form
    2,683.53/4,025.30 = 834.45/x
  3. Step 3: Cross multiply
    2,683.53x = 4,025.30 × 834.45
  4. Step 4: Simplify right side
    2,683.53x = 3,358,914.96
  5. Step 5: Solve for x
    x = 3,358,914.96/2,683.53
  6. Step 6: Final answer
    x = 1,251.68

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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.