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Finding the Fourth Proportional to 19,049, 28,573.50 and 8,105

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Solution

The fourth proportional to 19,049, 28,573.50 and 8,105 is: 12,157.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,049 : 28,573.50 = 8,105 : x
  2. Step 2: Convert to fraction form
    19,049/28,573.50 = 8,105/x
  3. Step 3: Cross multiply
    19,049x = 28,573.50 × 8,105
  4. Step 4: Simplify right side
    19,049x = 231,588,217.50
  5. Step 5: Solve for x
    x = 231,588,217.50/19,049
  6. Step 6: Final answer
    x = 12,157.50

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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.