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Finding the Fourth Proportional to 3,086.68, 4,630.53 and 978.46

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Solution

The fourth proportional to 3,086.68, 4,630.53 and 978.46 is: 1,467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.68 : 4,630.53 = 978.46 : x
  2. Step 2: Convert to fraction form
    3,086.68/4,630.53 = 978.46/x
  3. Step 3: Cross multiply
    3,086.68x = 4,630.53 × 978.46
  4. Step 4: Simplify right side
    3,086.68x = 4,530,788.38
  5. Step 5: Solve for x
    x = 4,530,788.38/3,086.68
  6. Step 6: Final answer
    x = 1,467.85

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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.