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Finding the Fourth Proportional to 13,863.84, 20,783.34 and 5,092.62

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Solution

The fourth proportional to 13,863.84, 20,783.34 and 5,092.62 is: 7,634.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863.84 : 20,783.34 = 5,092.62 : x
  2. Step 2: Convert to fraction form
    13,863.84/20,783.34 = 5,092.62/x
  3. Step 3: Cross multiply
    13,863.84x = 20,783.34 × 5,092.62
  4. Step 4: Simplify right side
    13,863.84x = 105,841,652.95
  5. Step 5: Solve for x
    x = 105,841,652.95/13,863.84
  6. Step 6: Final answer
    x = 7,634.37

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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.