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Finding the Fourth Proportional to 11,808.06, 17,719.19 and 4,787.19

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Solution

The fourth proportional to 11,808.06, 17,719.19 and 4,787.19 is: 7,183.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.06 : 17,719.19 = 4,787.19 : x
  2. Step 2: Convert to fraction form
    11,808.06/17,719.19 = 4,787.19/x
  3. Step 3: Cross multiply
    11,808.06x = 17,719.19 × 4,787.19
  4. Step 4: Simplify right side
    11,808.06x = 84,825,105.24
  5. Step 5: Solve for x
    x = 84,825,105.24/11,808.06
  6. Step 6: Final answer
    x = 7,183.66

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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.