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Finding the Fourth Proportional to 27,831, 38,406.78 and 15,255.84

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Solution

The fourth proportional to 27,831, 38,406.78 and 15,255.84 is: 21,053.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,831 : 38,406.78 = 15,255.84 : x
  2. Step 2: Convert to fraction form
    27,831/38,406.78 = 15,255.84/x
  3. Step 3: Cross multiply
    27,831x = 38,406.78 × 15,255.84
  4. Step 4: Simplify right side
    27,831x = 585,927,690.60
  5. Step 5: Solve for x
    x = 585,927,690.60/27,831
  6. Step 6: Final answer
    x = 21,053.06

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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.