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Finding the Fourth Proportional to 11,914.30, 17,869.98 and 6,919.42

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Solution

The fourth proportional to 11,914.30, 17,869.98 and 6,919.42 is: 10,378.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.30 : 17,869.98 = 6,919.42 : x
  2. Step 2: Convert to fraction form
    11,914.30/17,869.98 = 6,919.42/x
  3. Step 3: Cross multiply
    11,914.30x = 17,869.98 × 6,919.42
  4. Step 4: Simplify right side
    11,914.30x = 123,649,897.01
  5. Step 5: Solve for x
    x = 123,649,897.01/11,914.30
  6. Step 6: Final answer
    x = 10,378.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.