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Finding the Fourth Proportional to 3,059.43, 4,589.81 and 978.95

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Solution

The fourth proportional to 3,059.43, 4,589.81 and 978.95 is: 1,468.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.43 : 4,589.81 = 978.95 : x
  2. Step 2: Convert to fraction form
    3,059.43/4,589.81 = 978.95/x
  3. Step 3: Cross multiply
    3,059.43x = 4,589.81 × 978.95
  4. Step 4: Simplify right side
    3,059.43x = 4,493,194.50
  5. Step 5: Solve for x
    x = 4,493,194.50/3,059.43
  6. Step 6: Final answer
    x = 1,468.64

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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.