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Finding the Fourth Proportional to 20,134, 27,784.92 and 11,748.88

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Solution

The fourth proportional to 20,134, 27,784.92 and 11,748.88 is: 16,213.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,134 : 27,784.92 = 11,748.88 : x
  2. Step 2: Convert to fraction form
    20,134/27,784.92 = 11,748.88/x
  3. Step 3: Cross multiply
    20,134x = 27,784.92 × 11,748.88
  4. Step 4: Simplify right side
    20,134x = 326,441,690.89
  5. Step 5: Solve for x
    x = 326,441,690.89/20,134
  6. Step 6: Final answer
    x = 16,213.45

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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.