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Finding the Fourth Proportional to 20,390.46, 30,544.17 and 18,689.46

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Solution

The fourth proportional to 20,390.46, 30,544.17 and 18,689.46 is: 27,996.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,390.46 : 30,544.17 = 18,689.46 : x
  2. Step 2: Convert to fraction form
    20,390.46/30,544.17 = 18,689.46/x
  3. Step 3: Cross multiply
    20,390.46x = 30,544.17 × 18,689.46
  4. Step 4: Simplify right side
    20,390.46x = 570,854,043.45
  5. Step 5: Solve for x
    x = 570,854,043.45/20,390.46
  6. Step 6: Final answer
    x = 27,996.13

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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.