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Finding the Fourth Proportional to 19,203, 28,815.84 and 8,108.97

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Solution

The fourth proportional to 19,203, 28,815.84 and 8,108.97 is: 12,168.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,203 : 28,815.84 = 8,108.97 : x
  2. Step 2: Convert to fraction form
    19,203/28,815.84 = 8,108.97/x
  3. Step 3: Cross multiply
    19,203x = 28,815.84 × 8,108.97
  4. Step 4: Simplify right side
    19,203x = 233,666,782.08
  5. Step 5: Solve for x
    x = 233,666,782.08/19,203
  6. Step 6: Final answer
    x = 12,168.24

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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.