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Finding the Fourth Proportional to 13,864.50, 20,784.06 and 5,092.74

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Solution

The fourth proportional to 13,864.50, 20,784.06 and 5,092.74 is: 7,634.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,864.50 : 20,784.06 = 5,092.74 : x
  2. Step 2: Convert to fraction form
    13,864.50/20,784.06 = 5,092.74/x
  3. Step 3: Cross multiply
    13,864.50x = 20,784.06 × 5,092.74
  4. Step 4: Simplify right side
    13,864.50x = 105,847,813.72
  5. Step 5: Solve for x
    x = 105,847,813.72/13,864.50
  6. Step 6: Final answer
    x = 7,634.45

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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.