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Finding the Fourth Proportional to 5,834.32, 8,753.72 and 2,138.64

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Solution

The fourth proportional to 5,834.32, 8,753.72 and 2,138.64 is: 3,208.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.32 : 8,753.72 = 2,138.64 : x
  2. Step 2: Convert to fraction form
    5,834.32/8,753.72 = 2,138.64/x
  3. Step 3: Cross multiply
    5,834.32x = 8,753.72 × 2,138.64
  4. Step 4: Simplify right side
    5,834.32x = 18,721,055.74
  5. Step 5: Solve for x
    x = 18,721,055.74/5,834.32
  6. Step 6: Final answer
    x = 3,208.78

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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.