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Finding the Fourth Proportional to 20,568, 30,893.40 and 12,264.24

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Solution

The fourth proportional to 20,568, 30,893.40 and 12,264.24 is: 18,421.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,568 : 30,893.40 = 12,264.24 : x
  2. Step 2: Convert to fraction form
    20,568/30,893.40 = 12,264.24/x
  3. Step 3: Cross multiply
    20,568x = 30,893.40 × 12,264.24
  4. Step 4: Simplify right side
    20,568x = 378,884,072.02
  5. Step 5: Solve for x
    x = 378,884,072.02/20,568
  6. Step 6: Final answer
    x = 18,421.05

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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.