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Finding the Fourth Proportional to 28,469.34, 42,698.97 and 7,694.46

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Solution

The fourth proportional to 28,469.34, 42,698.97 and 7,694.46 is: 11,540.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,469.34 : 42,698.97 = 7,694.46 : x
  2. Step 2: Convert to fraction form
    28,469.34/42,698.97 = 7,694.46/x
  3. Step 3: Cross multiply
    28,469.34x = 42,698.97 × 7,694.46
  4. Step 4: Simplify right side
    28,469.34x = 328,545,516.71
  5. Step 5: Solve for x
    x = 328,545,516.71/28,469.34
  6. Step 6: Final answer
    x = 11,540.33

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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.