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Finding the Fourth Proportional to 19,201.80, 28,826.10 and 12,181.80

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Solution

The fourth proportional to 19,201.80, 28,826.10 and 12,181.80 is: 18,287.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,201.80 : 28,826.10 = 12,181.80 : x
  2. Step 2: Convert to fraction form
    19,201.80/28,826.10 = 12,181.80/x
  3. Step 3: Cross multiply
    19,201.80x = 28,826.10 × 12,181.80
  4. Step 4: Simplify right side
    19,201.80x = 351,153,784.98
  5. Step 5: Solve for x
    x = 351,153,784.98/19,201.80
  6. Step 6: Final answer
    x = 18,287.55

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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.