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Finding the Fourth Proportional to 27,018, 40,509 and 11,218.92

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Solution

The fourth proportional to 27,018, 40,509 and 11,218.92 is: 16,820.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,018 : 40,509 = 11,218.92 : x
  2. Step 2: Convert to fraction form
    27,018/40,509 = 11,218.92/x
  3. Step 3: Cross multiply
    27,018x = 40,509 × 11,218.92
  4. Step 4: Simplify right side
    27,018x = 454,467,230.28
  5. Step 5: Solve for x
    x = 454,467,230.28/27,018
  6. Step 6: Final answer
    x = 16,820.91

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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.