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Finding the Fourth Proportional to 27,831, 38,406.87 and 15,084.39

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Solution

The fourth proportional to 27,831, 38,406.87 and 15,084.39 is: 20,816.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,831 : 38,406.87 = 15,084.39 : x
  2. Step 2: Convert to fraction form
    27,831/38,406.87 = 15,084.39/x
  3. Step 3: Cross multiply
    27,831x = 38,406.87 × 15,084.39
  4. Step 4: Simplify right side
    27,831x = 579,344,205.76
  5. Step 5: Solve for x
    x = 579,344,205.76/27,831
  6. Step 6: Final answer
    x = 20,816.51

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1.5x scale

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.