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Finding the Fourth Proportional to 22,470.84, 33,780.12 and 20,847

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Solution

The fourth proportional to 22,470.84, 33,780.12 and 20,847 is: 31,339.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,470.84 : 33,780.12 = 20,847 : x
  2. Step 2: Convert to fraction form
    22,470.84/33,780.12 = 20,847/x
  3. Step 3: Cross multiply
    22,470.84x = 33,780.12 × 20,847
  4. Step 4: Simplify right side
    22,470.84x = 704,214,161.64
  5. Step 5: Solve for x
    x = 704,214,161.64/22,470.84
  6. Step 6: Final answer
    x = 31,339.02

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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.