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Finding the Fourth Proportional to 20,169, 30,253.50 and 7,021.44

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Solution

The fourth proportional to 20,169, 30,253.50 and 7,021.44 is: 10,532.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,169 : 30,253.50 = 7,021.44 : x
  2. Step 2: Convert to fraction form
    20,169/30,253.50 = 7,021.44/x
  3. Step 3: Cross multiply
    20,169x = 30,253.50 × 7,021.44
  4. Step 4: Simplify right side
    20,169x = 212,423,135.04
  5. Step 5: Solve for x
    x = 212,423,135.04/20,169
  6. Step 6: Final answer
    x = 10,532.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.