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Finding the Fourth Proportional to 18,616.50, 25,690.77 and 10,233.18

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Solution

The fourth proportional to 18,616.50, 25,690.77 and 10,233.18 is: 14,121.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,616.50 : 25,690.77 = 10,233.18 : x
  2. Step 2: Convert to fraction form
    18,616.50/25,690.77 = 10,233.18/x
  3. Step 3: Cross multiply
    18,616.50x = 25,690.77 × 10,233.18
  4. Step 4: Simplify right side
    18,616.50x = 262,898,273.75
  5. Step 5: Solve for x
    x = 262,898,273.75/18,616.50
  6. Step 6: Final answer
    x = 14,121.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.