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Finding the Fourth Proportional to 16,838, 25,239.96 and 8,079.20

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Solution

The fourth proportional to 16,838, 25,239.96 and 8,079.20 is: 12,110.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,838 : 25,239.96 = 8,079.20 : x
  2. Step 2: Convert to fraction form
    16,838/25,239.96 = 8,079.20/x
  3. Step 3: Cross multiply
    16,838x = 25,239.96 × 8,079.20
  4. Step 4: Simplify right side
    16,838x = 203,918,684.83
  5. Step 5: Solve for x
    x = 203,918,684.83/16,838
  6. Step 6: Final answer
    x = 12,110.62

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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.