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Finding the Fourth Proportional to 11,919.30, 17,873.19 and 6,990.54

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Solution

The fourth proportional to 11,919.30, 17,873.19 and 6,990.54 is: 10,482.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,919.30 : 17,873.19 = 6,990.54 : x
  2. Step 2: Convert to fraction form
    11,919.30/17,873.19 = 6,990.54/x
  3. Step 3: Cross multiply
    11,919.30x = 17,873.19 × 6,990.54
  4. Step 4: Simplify right side
    11,919.30x = 124,943,249.62
  5. Step 5: Solve for x
    x = 124,943,249.62/11,919.30
  6. Step 6: Final answer
    x = 10,482.43

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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.