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Finding the Fourth Proportional to 19,194.20, 28,783.20 and 9,336.50

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Solution

The fourth proportional to 19,194.20, 28,783.20 and 9,336.50 is: 14,000.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,194.20 : 28,783.20 = 9,336.50 : x
  2. Step 2: Convert to fraction form
    19,194.20/28,783.20 = 9,336.50/x
  3. Step 3: Cross multiply
    19,194.20x = 28,783.20 × 9,336.50
  4. Step 4: Simplify right side
    19,194.20x = 268,734,346.80
  5. Step 5: Solve for x
    x = 268,734,346.80/19,194.20
  6. Step 6: Final answer
    x = 14,000.81

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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.