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Finding the Fourth Proportional to 27,978.12, 38,608.36 and 15,400.44

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Solution

The fourth proportional to 27,978.12, 38,608.36 and 15,400.44 is: 21,251.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.12 : 38,608.36 = 15,400.44 : x
  2. Step 2: Convert to fraction form
    27,978.12/38,608.36 = 15,400.44/x
  3. Step 3: Cross multiply
    27,978.12x = 38,608.36 × 15,400.44
  4. Step 4: Simplify right side
    27,978.12x = 594,585,731.68
  5. Step 5: Solve for x
    x = 594,585,731.68/27,978.12
  6. Step 6: Final answer
    x = 21,251.81

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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.