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Finding the Fourth Proportional to 30,580.26, 45,865.46 and 8,388.48

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Solution

The fourth proportional to 30,580.26, 45,865.46 and 8,388.48 is: 12,581.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,580.26 : 45,865.46 = 8,388.48 : x
  2. Step 2: Convert to fraction form
    30,580.26/45,865.46 = 8,388.48/x
  3. Step 3: Cross multiply
    30,580.26x = 45,865.46 × 8,388.48
  4. Step 4: Simplify right side
    30,580.26x = 384,741,493.90
  5. Step 5: Solve for x
    x = 384,741,493.90/30,580.26
  6. Step 6: Final answer
    x = 12,581.37

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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.