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Finding the Fourth Proportional to 19,542.15, 29,305.94 and 7,851.42

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Solution

The fourth proportional to 19,542.15, 29,305.94 and 7,851.42 is: 11,774.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,542.15 : 29,305.94 = 7,851.42 : x
  2. Step 2: Convert to fraction form
    19,542.15/29,305.94 = 7,851.42/x
  3. Step 3: Cross multiply
    19,542.15x = 29,305.94 × 7,851.42
  4. Step 4: Simplify right side
    19,542.15x = 230,093,204.18
  5. Step 5: Solve for x
    x = 230,093,204.18/19,542.15
  6. Step 6: Final answer
    x = 11,774.20

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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.