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Finding the Fourth Proportional to 3,169.12, 4,753.95 and 978.34

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Solution

The fourth proportional to 3,169.12, 4,753.95 and 978.34 is: 1,467.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.12 : 4,753.95 = 978.34 : x
  2. Step 2: Convert to fraction form
    3,169.12/4,753.95 = 978.34/x
  3. Step 3: Cross multiply
    3,169.12x = 4,753.95 × 978.34
  4. Step 4: Simplify right side
    3,169.12x = 4,650,979.44
  5. Step 5: Solve for x
    x = 4,650,979.44/3,169.12
  6. Step 6: Final answer
    x = 1,467.59

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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.