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Finding the Fourth Proportional to 5,682.78, 8,518.37 and 3,834.08

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Solution

The fourth proportional to 5,682.78, 8,518.37 and 3,834.08 is: 5,747.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.78 : 8,518.37 = 3,834.08 : x
  2. Step 2: Convert to fraction form
    5,682.78/8,518.37 = 3,834.08/x
  3. Step 3: Cross multiply
    5,682.78x = 8,518.37 × 3,834.08
  4. Step 4: Simplify right side
    5,682.78x = 32,660,130.15
  5. Step 5: Solve for x
    x = 32,660,130.15/5,682.78
  6. Step 6: Final answer
    x = 5,747.21

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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.