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Finding the Fourth Proportional to 20,037, 27,651.06 and 11,205

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Solution

The fourth proportional to 20,037, 27,651.06 and 11,205 is: 15,462.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,037 : 27,651.06 = 11,205 : x
  2. Step 2: Convert to fraction form
    20,037/27,651.06 = 11,205/x
  3. Step 3: Cross multiply
    20,037x = 27,651.06 × 11,205
  4. Step 4: Simplify right side
    20,037x = 309,830,127.30
  5. Step 5: Solve for x
    x = 309,830,127.30/20,037
  6. Step 6: Final answer
    x = 15,462.90

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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.