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Finding the Fourth Proportional to 3,170.12, 4,755.82 and 978.76

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Solution

The fourth proportional to 3,170.12, 4,755.82 and 978.76 is: 1,468.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.12 : 4,755.82 = 978.76 : x
  2. Step 2: Convert to fraction form
    3,170.12/4,755.82 = 978.76/x
  3. Step 3: Cross multiply
    3,170.12x = 4,755.82 × 978.76
  4. Step 4: Simplify right side
    3,170.12x = 4,654,806.38
  5. Step 5: Solve for x
    x = 4,654,806.38/3,170.12
  6. Step 6: Final answer
    x = 1,468.34

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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.