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Finding the Fourth Proportional to 19,072.53, 28,612.92 and 7,827.90

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Solution

The fourth proportional to 19,072.53, 28,612.92 and 7,827.90 is: 11,743.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,072.53 : 28,612.92 = 7,827.90 : x
  2. Step 2: Convert to fraction form
    19,072.53/28,612.92 = 7,827.90/x
  3. Step 3: Cross multiply
    19,072.53x = 28,612.92 × 7,827.90
  4. Step 4: Simplify right side
    19,072.53x = 223,979,076.47
  5. Step 5: Solve for x
    x = 223,979,076.47/19,072.53
  6. Step 6: Final answer
    x = 11,743.54

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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.