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Finding the Fourth Proportional to 20,034, 27,648.20 and 11,202

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Solution

The fourth proportional to 20,034, 27,648.20 and 11,202 is: 15,459.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,034 : 27,648.20 = 11,202 : x
  2. Step 2: Convert to fraction form
    20,034/27,648.20 = 11,202/x
  3. Step 3: Cross multiply
    20,034x = 27,648.20 × 11,202
  4. Step 4: Simplify right side
    20,034x = 309,715,136.40
  5. Step 5: Solve for x
    x = 309,715,136.40/20,034
  6. Step 6: Final answer
    x = 15,459.48

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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.