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Finding the Fourth Proportional to 3,169.01, 4,753.97 and 978.41

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Solution

The fourth proportional to 3,169.01, 4,753.97 and 978.41 is: 1,467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.01 : 4,753.97 = 978.41 : x
  2. Step 2: Convert to fraction form
    3,169.01/4,753.97 = 978.41/x
  3. Step 3: Cross multiply
    3,169.01x = 4,753.97 × 978.41
  4. Step 4: Simplify right side
    3,169.01x = 4,651,303.13
  5. Step 5: Solve for x
    x = 4,651,303.13/3,169.01
  6. Step 6: Final answer
    x = 1,467.75

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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.