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Finding the Fourth Proportional to 27,808, 38,375.05 and 15,233.20

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Solution

The fourth proportional to 27,808, 38,375.05 and 15,233.20 is: 21,021.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,808 : 38,375.05 = 15,233.20 : x
  2. Step 2: Convert to fraction form
    27,808/38,375.05 = 15,233.20/x
  3. Step 3: Cross multiply
    27,808x = 38,375.05 × 15,233.20
  4. Step 4: Simplify right side
    27,808x = 584,574,811.66
  5. Step 5: Solve for x
    x = 584,574,811.66/27,808
  6. Step 6: Final answer
    x = 21,021.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.