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Finding the Fourth Proportional to 3,170.19, 4,755.27 and 978.39

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Solution

The fourth proportional to 3,170.19, 4,755.27 and 978.39 is: 1,467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.19 : 4,755.27 = 978.39 : x
  2. Step 2: Convert to fraction form
    3,170.19/4,755.27 = 978.39/x
  3. Step 3: Cross multiply
    3,170.19x = 4,755.27 × 978.39
  4. Step 4: Simplify right side
    3,170.19x = 4,652,508.62
  5. Step 5: Solve for x
    x = 4,652,508.62/3,170.19
  6. Step 6: Final answer
    x = 1,467.58

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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.