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Finding the Fourth Proportional to 20,894.88, 31,343.94 and 9,049.44

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Solution

The fourth proportional to 20,894.88, 31,343.94 and 9,049.44 is: 13,574.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,894.88 : 31,343.94 = 9,049.44 : x
  2. Step 2: Convert to fraction form
    20,894.88/31,343.94 = 9,049.44/x
  3. Step 3: Cross multiply
    20,894.88x = 31,343.94 × 9,049.44
  4. Step 4: Simplify right side
    20,894.88x = 283,645,104.39
  5. Step 5: Solve for x
    x = 283,645,104.39/20,894.88
  6. Step 6: Final answer
    x = 13,574.86

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1.5x scale

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.