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Finding the Fourth Proportional to 19,195.34, 28,780.70 and 8,099

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Solution

The fourth proportional to 19,195.34, 28,780.70 and 8,099 is: 12,143.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,195.34 : 28,780.70 = 8,099 : x
  2. Step 2: Convert to fraction form
    19,195.34/28,780.70 = 8,099/x
  3. Step 3: Cross multiply
    19,195.34x = 28,780.70 × 8,099
  4. Step 4: Simplify right side
    19,195.34x = 233,094,889.30
  5. Step 5: Solve for x
    x = 233,094,889.30/19,195.34
  6. Step 6: Final answer
    x = 12,143.31

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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.