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Finding the Fourth Proportional to 20,180.88, 27,848.88 and 11,797.20

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Solution

The fourth proportional to 20,180.88, 27,848.88 and 11,797.20 is: 16,279.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,180.88 : 27,848.88 = 11,797.20 : x
  2. Step 2: Convert to fraction form
    20,180.88/27,848.88 = 11,797.20/x
  3. Step 3: Cross multiply
    20,180.88x = 27,848.88 × 11,797.20
  4. Step 4: Simplify right side
    20,180.88x = 328,538,807.14
  5. Step 5: Solve for x
    x = 328,538,807.14/20,180.88
  6. Step 6: Final answer
    x = 16,279.71

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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.