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Finding the Fourth Proportional to 20,239.31, 30,362.47 and 6,199

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Solution

The fourth proportional to 20,239.31, 30,362.47 and 6,199 is: 9,299.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,239.31 : 30,362.47 = 6,199 : x
  2. Step 2: Convert to fraction form
    20,239.31/30,362.47 = 6,199/x
  3. Step 3: Cross multiply
    20,239.31x = 30,362.47 × 6,199
  4. Step 4: Simplify right side
    20,239.31x = 188,216,951.53
  5. Step 5: Solve for x
    x = 188,216,951.53/20,239.31
  6. Step 6: Final answer
    x = 9,299.57

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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.