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Finding the Fourth Proportional to 19,893.28, 29,796.72 and 19,340.32

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Solution

The fourth proportional to 19,893.28, 29,796.72 and 19,340.32 is: 28,968.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,893.28 : 29,796.72 = 19,340.32 : x
  2. Step 2: Convert to fraction form
    19,893.28/29,796.72 = 19,340.32/x
  3. Step 3: Cross multiply
    19,893.28x = 29,796.72 × 19,340.32
  4. Step 4: Simplify right side
    19,893.28x = 576,278,099.75
  5. Step 5: Solve for x
    x = 576,278,099.75/19,893.28
  6. Step 6: Final answer
    x = 28,968.48

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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.