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Finding the Fourth Proportional to 22,616.88, 31,211.31 and 13,183.62

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Solution

The fourth proportional to 22,616.88, 31,211.31 and 13,183.62 is: 18,193.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,616.88 : 31,211.31 = 13,183.62 : x
  2. Step 2: Convert to fraction form
    22,616.88/31,211.31 = 13,183.62/x
  3. Step 3: Cross multiply
    22,616.88x = 31,211.31 × 13,183.62
  4. Step 4: Simplify right side
    22,616.88x = 411,478,050.74
  5. Step 5: Solve for x
    x = 411,478,050.74/22,616.88
  6. Step 6: Final answer
    x = 18,193.40

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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.