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Finding the Fourth Proportional to 20,071.68, 30,126 and 10,218

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Solution

The fourth proportional to 20,071.68, 30,126 and 10,218 is: 15,336.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,071.68 : 30,126 = 10,218 : x
  2. Step 2: Convert to fraction form
    20,071.68/30,126 = 10,218/x
  3. Step 3: Cross multiply
    20,071.68x = 30,126 × 10,218
  4. Step 4: Simplify right side
    20,071.68x = 307,827,468
  5. Step 5: Solve for x
    x = 307,827,468/20,071.68
  6. Step 6: Final answer
    x = 15,336.41

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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.