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Finding the Fourth Proportional to 6,909.64, 10,364.42 and 1,979.26

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Solution

The fourth proportional to 6,909.64, 10,364.42 and 1,979.26 is: 2,968.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.64 : 10,364.42 = 1,979.26 : x
  2. Step 2: Convert to fraction form
    6,909.64/10,364.42 = 1,979.26/x
  3. Step 3: Cross multiply
    6,909.64x = 10,364.42 × 1,979.26
  4. Step 4: Simplify right side
    6,909.64x = 20,513,860.97
  5. Step 5: Solve for x
    x = 20,513,860.97/6,909.64
  6. Step 6: Final answer
    x = 2,968.88

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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.