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Finding the Fourth Proportional to 19,196, 28,794 and 8,252

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Solution

The fourth proportional to 19,196, 28,794 and 8,252 is: 12,378

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,196 : 28,794 = 8,252 : x
  2. Step 2: Convert to fraction form
    19,196/28,794 = 8,252/x
  3. Step 3: Cross multiply
    19,196x = 28,794 × 8,252
  4. Step 4: Simplify right side
    19,196x = 237,608,088
  5. Step 5: Solve for x
    x = 237,608,088/19,196
  6. Step 6: Final answer
    x = 12,378

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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.