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Finding the Fourth Proportional to 27,211.37, 40,832.81 and 11,415

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Solution

The fourth proportional to 27,211.37, 40,832.81 and 11,415 is: 17,129.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,211.37 : 40,832.81 = 11,415 : x
  2. Step 2: Convert to fraction form
    27,211.37/40,832.81 = 11,415/x
  3. Step 3: Cross multiply
    27,211.37x = 40,832.81 × 11,415
  4. Step 4: Simplify right side
    27,211.37x = 466,106,554.69
  5. Step 5: Solve for x
    x = 466,106,554.69/27,211.37
  6. Step 6: Final answer
    x = 17,129.11

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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.