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Finding the Fourth Proportional to 19,042.64, 28,563.96 and 6,722

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Solution

The fourth proportional to 19,042.64, 28,563.96 and 6,722 is: 10,083

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,042.64 : 28,563.96 = 6,722 : x
  2. Step 2: Convert to fraction form
    19,042.64/28,563.96 = 6,722/x
  3. Step 3: Cross multiply
    19,042.64x = 28,563.96 × 6,722
  4. Step 4: Simplify right side
    19,042.64x = 192,006,939.12
  5. Step 5: Solve for x
    x = 192,006,939.12/19,042.64
  6. Step 6: Final answer
    x = 10,083

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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.