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Finding the Fourth Proportional to 6,909.86, 10,363.26 and 1,979.48

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Solution

The fourth proportional to 6,909.86, 10,363.26 and 1,979.48 is: 2,968.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.86 : 10,363.26 = 1,979.48 : x
  2. Step 2: Convert to fraction form
    6,909.86/10,363.26 = 1,979.48/x
  3. Step 3: Cross multiply
    6,909.86x = 10,363.26 × 1,979.48
  4. Step 4: Simplify right side
    6,909.86x = 20,513,865.90
  5. Step 5: Solve for x
    x = 20,513,865.90/6,909.86
  6. Step 6: Final answer
    x = 2,968.78

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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.