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Finding the Fourth Proportional to 5,843.52, 8,768.52 and 2,380.50

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Solution

The fourth proportional to 5,843.52, 8,768.52 and 2,380.50 is: 3,572.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.52 : 8,768.52 = 2,380.50 : x
  2. Step 2: Convert to fraction form
    5,843.52/8,768.52 = 2,380.50/x
  3. Step 3: Cross multiply
    5,843.52x = 8,768.52 × 2,380.50
  4. Step 4: Simplify right side
    5,843.52x = 20,873,461.86
  5. Step 5: Solve for x
    x = 20,873,461.86/5,843.52
  6. Step 6: Final answer
    x = 3,572.07

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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.