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Finding the Fourth Proportional to 3,874.92, 5,812.36 and 1,683.36

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Solution

The fourth proportional to 3,874.92, 5,812.36 and 1,683.36 is: 2,525.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.92 : 5,812.36 = 1,683.36 : x
  2. Step 2: Convert to fraction form
    3,874.92/5,812.36 = 1,683.36/x
  3. Step 3: Cross multiply
    3,874.92x = 5,812.36 × 1,683.36
  4. Step 4: Simplify right side
    3,874.92x = 9,784,294.33
  5. Step 5: Solve for x
    x = 9,784,294.33/3,874.92
  6. Step 6: Final answer
    x = 2,525.03

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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.