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Finding the Fourth Proportional to 2,683.68, 4,024.38 and 834.40

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Solution

The fourth proportional to 2,683.68, 4,024.38 and 834.40 is: 1,251.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.68 : 4,024.38 = 834.40 : x
  2. Step 2: Convert to fraction form
    2,683.68/4,024.38 = 834.40/x
  3. Step 3: Cross multiply
    2,683.68x = 4,024.38 × 834.40
  4. Step 4: Simplify right side
    2,683.68x = 3,357,942.67
  5. Step 5: Solve for x
    x = 3,357,942.67/2,683.68
  6. Step 6: Final answer
    x = 1,251.25

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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.