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Finding the Fourth Proportional to 27,288, 40,906.08 and 10,635.84

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Solution

The fourth proportional to 27,288, 40,906.08 and 10,635.84 is: 15,943.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,288 : 40,906.08 = 10,635.84 : x
  2. Step 2: Convert to fraction form
    27,288/40,906.08 = 10,635.84/x
  3. Step 3: Cross multiply
    27,288x = 40,906.08 × 10,635.84
  4. Step 4: Simplify right side
    27,288x = 435,070,521.91
  5. Step 5: Solve for x
    x = 435,070,521.91/27,288
  6. Step 6: Final answer
    x = 15,943.66

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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.