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Finding the Fourth Proportional to 20,038, 27,652.44 and 11,206

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Solution

The fourth proportional to 20,038, 27,652.44 and 11,206 is: 15,464.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,038 : 27,652.44 = 11,206 : x
  2. Step 2: Convert to fraction form
    20,038/27,652.44 = 11,206/x
  3. Step 3: Cross multiply
    20,038x = 27,652.44 × 11,206
  4. Step 4: Simplify right side
    20,038x = 309,873,242.64
  5. Step 5: Solve for x
    x = 309,873,242.64/20,038
  6. Step 6: Final answer
    x = 15,464.28

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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.