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Finding the Fourth Proportional to 20,130.92, 30,200.70 and 6,281

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Solution

The fourth proportional to 20,130.92, 30,200.70 and 6,281 is: 9,422.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,130.92 : 30,200.70 = 6,281 : x
  2. Step 2: Convert to fraction form
    20,130.92/30,200.70 = 6,281/x
  3. Step 3: Cross multiply
    20,130.92x = 30,200.70 × 6,281
  4. Step 4: Simplify right side
    20,130.92x = 189,690,596.70
  5. Step 5: Solve for x
    x = 189,690,596.70/20,130.92
  6. Step 6: Final answer
    x = 9,422.85

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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.