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Finding the Fourth Proportional to 20,091, 27,725.58 and 11,709.12

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Solution

The fourth proportional to 20,091, 27,725.58 and 11,709.12 is: 16,158.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,091 : 27,725.58 = 11,709.12 : x
  2. Step 2: Convert to fraction form
    20,091/27,725.58 = 11,709.12/x
  3. Step 3: Cross multiply
    20,091x = 27,725.58 × 11,709.12
  4. Step 4: Simplify right side
    20,091x = 324,642,143.29
  5. Step 5: Solve for x
    x = 324,642,143.29/20,091
  6. Step 6: Final answer
    x = 16,158.59

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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.