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Finding the Fourth Proportional to 22,414, 30,920.94 and 14,458.79

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Solution

The fourth proportional to 22,414, 30,920.94 and 14,458.79 is: 19,946.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,414 : 30,920.94 = 14,458.79 : x
  2. Step 2: Convert to fraction form
    22,414/30,920.94 = 14,458.79/x
  3. Step 3: Cross multiply
    22,414x = 30,920.94 × 14,458.79
  4. Step 4: Simplify right side
    22,414x = 447,079,378.06
  5. Step 5: Solve for x
    x = 447,079,378.06/22,414
  6. Step 6: Final answer
    x = 19,946.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.