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Finding the Fourth Proportional to 20,188.80, 30,280.32 and 6,336

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Solution

The fourth proportional to 20,188.80, 30,280.32 and 6,336 is: 9,503.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,188.80 : 30,280.32 = 6,336 : x
  2. Step 2: Convert to fraction form
    20,188.80/30,280.32 = 6,336/x
  3. Step 3: Cross multiply
    20,188.80x = 30,280.32 × 6,336
  4. Step 4: Simplify right side
    20,188.80x = 191,856,107.52
  5. Step 5: Solve for x
    x = 191,856,107.52/20,188.80
  6. Step 6: Final answer
    x = 9,503.10

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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.