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Finding the Fourth Proportional to 20,037.92, 30,059.76 and 6,188

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Solution

The fourth proportional to 20,037.92, 30,059.76 and 6,188 is: 9,282.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,037.92 : 30,059.76 = 6,188 : x
  2. Step 2: Convert to fraction form
    20,037.92/30,059.76 = 6,188/x
  3. Step 3: Cross multiply
    20,037.92x = 30,059.76 × 6,188
  4. Step 4: Simplify right side
    20,037.92x = 186,009,794.88
  5. Step 5: Solve for x
    x = 186,009,794.88/20,037.92
  6. Step 6: Final answer
    x = 9,282.89

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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.