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Finding the Fourth Proportional to 20,299.78, 30,435 and 9,200.80

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Solution

The fourth proportional to 20,299.78, 30,435 and 9,200.80 is: 13,794.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,299.78 : 30,435 = 9,200.80 : x
  2. Step 2: Convert to fraction form
    20,299.78/30,435 = 9,200.80/x
  3. Step 3: Cross multiply
    20,299.78x = 30,435 × 9,200.80
  4. Step 4: Simplify right side
    20,299.78x = 280,026,348
  5. Step 5: Solve for x
    x = 280,026,348/20,299.78
  6. Step 6: Final answer
    x = 13,794.55

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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.