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Finding the Fourth Proportional to 19,229.28, 28,791.80 and 9,975.84

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Solution

The fourth proportional to 19,229.28, 28,791.80 and 9,975.84 is: 14,936.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,229.28 : 28,791.80 = 9,975.84 : x
  2. Step 2: Convert to fraction form
    19,229.28/28,791.80 = 9,975.84/x
  3. Step 3: Cross multiply
    19,229.28x = 28,791.80 × 9,975.84
  4. Step 4: Simplify right side
    19,229.28x = 287,222,390.11
  5. Step 5: Solve for x
    x = 287,222,390.11/19,229.28
  6. Step 6: Final answer
    x = 14,936.72

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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.