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Finding the Fourth Proportional to 19,208, 28,823.34 and 8,113.97

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Solution

The fourth proportional to 19,208, 28,823.34 and 8,113.97 is: 12,175.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,208 : 28,823.34 = 8,113.97 : x
  2. Step 2: Convert to fraction form
    19,208/28,823.34 = 8,113.97/x
  3. Step 3: Cross multiply
    19,208x = 28,823.34 × 8,113.97
  4. Step 4: Simplify right side
    19,208x = 233,871,716.06
  5. Step 5: Solve for x
    x = 233,871,716.06/19,208
  6. Step 6: Final answer
    x = 12,175.75

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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.