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Finding the Fourth Proportional to 5,270.86, 7,909.39 and 1,983.86

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Solution

The fourth proportional to 5,270.86, 7,909.39 and 1,983.86 is: 2,976.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.86 : 7,909.39 = 1,983.86 : x
  2. Step 2: Convert to fraction form
    5,270.86/7,909.39 = 1,983.86/x
  3. Step 3: Cross multiply
    5,270.86x = 7,909.39 × 1,983.86
  4. Step 4: Simplify right side
    5,270.86x = 15,691,122.45
  5. Step 5: Solve for x
    x = 15,691,122.45/5,270.86
  6. Step 6: Final answer
    x = 2,976.96

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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.