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Finding the Fourth Proportional to 3,169.95, 4,753.34 and 978.39

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Solution

The fourth proportional to 3,169.95, 4,753.34 and 978.39 is: 1,467.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.95 : 4,753.34 = 978.39 : x
  2. Step 2: Convert to fraction form
    3,169.95/4,753.34 = 978.39/x
  3. Step 3: Cross multiply
    3,169.95x = 4,753.34 × 978.39
  4. Step 4: Simplify right side
    3,169.95x = 4,650,615.43
  5. Step 5: Solve for x
    x = 4,650,615.43/3,169.95
  6. Step 6: Final answer
    x = 1,467.09

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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.