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Finding the Fourth Proportional to 11,753.84, 17,631.48 and 3,856.88

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Solution

The fourth proportional to 11,753.84, 17,631.48 and 3,856.88 is: 5,785.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.84 : 17,631.48 = 3,856.88 : x
  2. Step 2: Convert to fraction form
    11,753.84/17,631.48 = 3,856.88/x
  3. Step 3: Cross multiply
    11,753.84x = 17,631.48 × 3,856.88
  4. Step 4: Simplify right side
    11,753.84x = 68,002,502.58
  5. Step 5: Solve for x
    x = 68,002,502.58/11,753.84
  6. Step 6: Final answer
    x = 5,785.56

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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.