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Finding the Fourth Proportional to 28,694.25, 39,601.71 and 16,119

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Solution

The fourth proportional to 28,694.25, 39,601.71 and 16,119 is: 22,246.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,694.25 : 39,601.71 = 16,119 : x
  2. Step 2: Convert to fraction form
    28,694.25/39,601.71 = 16,119/x
  3. Step 3: Cross multiply
    28,694.25x = 39,601.71 × 16,119
  4. Step 4: Simplify right side
    28,694.25x = 638,339,963.49
  5. Step 5: Solve for x
    x = 638,339,963.49/28,694.25
  6. Step 6: Final answer
    x = 22,246.27

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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.