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Finding the Fourth Proportional to 20,114, 27,758.76 and 11,161.44

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Solution

The fourth proportional to 20,114, 27,758.76 and 11,161.44 is: 15,403.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,114 : 27,758.76 = 11,161.44 : x
  2. Step 2: Convert to fraction form
    20,114/27,758.76 = 11,161.44/x
  3. Step 3: Cross multiply
    20,114x = 27,758.76 × 11,161.44
  4. Step 4: Simplify right side
    20,114x = 309,827,734.21
  5. Step 5: Solve for x
    x = 309,827,734.21/20,114
  6. Step 6: Final answer
    x = 15,403.59

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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.