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Finding the Fourth Proportional to 11,873.98, 17,813.40 and 4,081.78

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Solution

The fourth proportional to 11,873.98, 17,813.40 and 4,081.78 is: 6,123.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,873.98 : 17,813.40 = 4,081.78 : x
  2. Step 2: Convert to fraction form
    11,873.98/17,813.40 = 4,081.78/x
  3. Step 3: Cross multiply
    11,873.98x = 17,813.40 × 4,081.78
  4. Step 4: Simplify right side
    11,873.98x = 72,710,379.85
  5. Step 5: Solve for x
    x = 72,710,379.85/11,873.98
  6. Step 6: Final answer
    x = 6,123.51

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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.