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Finding the Fourth Proportional to 20,129.92, 30,199.20 and 6,280

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Solution

The fourth proportional to 20,129.92, 30,199.20 and 6,280 is: 9,421.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,129.92 : 30,199.20 = 6,280 : x
  2. Step 2: Convert to fraction form
    20,129.92/30,199.20 = 6,280/x
  3. Step 3: Cross multiply
    20,129.92x = 30,199.20 × 6,280
  4. Step 4: Simplify right side
    20,129.92x = 189,650,976
  5. Step 5: Solve for x
    x = 189,650,976/20,129.92
  6. Step 6: Final answer
    x = 9,421.35

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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.