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Finding the Fourth Proportional to 20,650.78, 30,976.32 and 5,068.41

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Solution

The fourth proportional to 20,650.78, 30,976.32 and 5,068.41 is: 7,602.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,650.78 : 30,976.32 = 5,068.41 : x
  2. Step 2: Convert to fraction form
    20,650.78/30,976.32 = 5,068.41/x
  3. Step 3: Cross multiply
    20,650.78x = 30,976.32 × 5,068.41
  4. Step 4: Simplify right side
    20,650.78x = 157,000,592.90
  5. Step 5: Solve for x
    x = 157,000,592.90/20,650.78
  6. Step 6: Final answer
    x = 7,602.65

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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.