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Finding the Fourth Proportional to 16,181, 24,269.88 and 11,807

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Solution

The fourth proportional to 16,181, 24,269.88 and 11,807 is: 17,709.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,181 : 24,269.88 = 11,807 : x
  2. Step 2: Convert to fraction form
    16,181/24,269.88 = 11,807/x
  3. Step 3: Cross multiply
    16,181x = 24,269.88 × 11,807
  4. Step 4: Simplify right side
    16,181x = 286,554,473.16
  5. Step 5: Solve for x
    x = 286,554,473.16/16,181
  6. Step 6: Final answer
    x = 17,709.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.