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Finding the Fourth Proportional to 19,100, 28,661.52 and 8,156

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Solution

The fourth proportional to 19,100, 28,661.52 and 8,156 is: 12,238.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,100 : 28,661.52 = 8,156 : x
  2. Step 2: Convert to fraction form
    19,100/28,661.52 = 8,156/x
  3. Step 3: Cross multiply
    19,100x = 28,661.52 × 8,156
  4. Step 4: Simplify right side
    19,100x = 233,763,357.12
  5. Step 5: Solve for x
    x = 233,763,357.12/19,100
  6. Step 6: Final answer
    x = 12,238.92

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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.