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Finding the Fourth Proportional to 27,902.32, 38,505 and 15,326.80

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Solution

The fourth proportional to 27,902.32, 38,505 and 15,326.80 is: 21,150.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,902.32 : 38,505 = 15,326.80 : x
  2. Step 2: Convert to fraction form
    27,902.32/38,505 = 15,326.80/x
  3. Step 3: Cross multiply
    27,902.32x = 38,505 × 15,326.80
  4. Step 4: Simplify right side
    27,902.32x = 590,158,434
  5. Step 5: Solve for x
    x = 590,158,434/27,902.32
  6. Step 6: Final answer
    x = 21,150.87

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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.