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Finding the Fourth Proportional to 3,169.26, 4,753.28 and 978.62

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Solution

The fourth proportional to 3,169.26, 4,753.28 and 978.62 is: 1,467.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.26 : 4,753.28 = 978.62 : x
  2. Step 2: Convert to fraction form
    3,169.26/4,753.28 = 978.62/x
  3. Step 3: Cross multiply
    3,169.26x = 4,753.28 × 978.62
  4. Step 4: Simplify right side
    3,169.26x = 4,651,654.87
  5. Step 5: Solve for x
    x = 4,651,654.87/3,169.26
  6. Step 6: Final answer
    x = 1,467.74

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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.