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Finding the Fourth Proportional to 27,856.72, 41,786.08 and 9,137.20

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Solution

The fourth proportional to 27,856.72, 41,786.08 and 9,137.20 is: 13,706.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,856.72 : 41,786.08 = 9,137.20 : x
  2. Step 2: Convert to fraction form
    27,856.72/41,786.08 = 9,137.20/x
  3. Step 3: Cross multiply
    27,856.72x = 41,786.08 × 9,137.20
  4. Step 4: Simplify right side
    27,856.72x = 381,807,770.18
  5. Step 5: Solve for x
    x = 381,807,770.18/27,856.72
  6. Step 6: Final answer
    x = 13,706.13

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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.