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Finding the Fourth Proportional to 19,978.25, 29,942.76 and 6,815.24

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Solution

The fourth proportional to 19,978.25, 29,942.76 and 6,815.24 is: 10,214.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978.25 : 29,942.76 = 6,815.24 : x
  2. Step 2: Convert to fraction form
    19,978.25/29,942.76 = 6,815.24/x
  3. Step 3: Cross multiply
    19,978.25x = 29,942.76 × 6,815.24
  4. Step 4: Simplify right side
    19,978.25x = 204,067,083.79
  5. Step 5: Solve for x
    x = 204,067,083.79/19,978.25
  6. Step 6: Final answer
    x = 10,214.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.