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Finding the Fourth Proportional to 27,867.76, 41,726.26 and 20,415.76

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Solution

The fourth proportional to 27,867.76, 41,726.26 and 20,415.76 is: 30,568.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,867.76 : 41,726.26 = 20,415.76 : x
  2. Step 2: Convert to fraction form
    27,867.76/41,726.26 = 20,415.76/x
  3. Step 3: Cross multiply
    27,867.76x = 41,726.26 × 20,415.76
  4. Step 4: Simplify right side
    27,867.76x = 851,873,309.86
  5. Step 5: Solve for x
    x = 851,873,309.86/27,867.76
  6. Step 6: Final answer
    x = 30,568.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.