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Finding the Fourth Proportional to 11,874.20, 17,807.10 and 4,081.20

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Solution

The fourth proportional to 11,874.20, 17,807.10 and 4,081.20 is: 6,120.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.20 : 17,807.10 = 4,081.20 : x
  2. Step 2: Convert to fraction form
    11,874.20/17,807.10 = 4,081.20/x
  3. Step 3: Cross multiply
    11,874.20x = 17,807.10 × 4,081.20
  4. Step 4: Simplify right side
    11,874.20x = 72,674,336.52
  5. Step 5: Solve for x
    x = 72,674,336.52/11,874.20
  6. Step 6: Final answer
    x = 6,120.36

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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.