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Finding the Fourth Proportional to 8,138.91, 11,232.52 and 4,952.43

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Solution

The fourth proportional to 8,138.91, 11,232.52 and 4,952.43 is: 6,834.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.91 : 11,232.52 = 4,952.43 : x
  2. Step 2: Convert to fraction form
    8,138.91/11,232.52 = 4,952.43/x
  3. Step 3: Cross multiply
    8,138.91x = 11,232.52 × 4,952.43
  4. Step 4: Simplify right side
    8,138.91x = 55,628,269.02
  5. Step 5: Solve for x
    x = 55,628,269.02/8,138.91
  6. Step 6: Final answer
    x = 6,834.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.