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Finding the Fourth Proportional to 11,819.93, 16,310.57 and 7,342.25

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Solution

The fourth proportional to 11,819.93, 16,310.57 and 7,342.25 is: 10,131.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,819.93 : 16,310.57 = 7,342.25 : x
  2. Step 2: Convert to fraction form
    11,819.93/16,310.57 = 7,342.25/x
  3. Step 3: Cross multiply
    11,819.93x = 16,310.57 × 7,342.25
  4. Step 4: Simplify right side
    11,819.93x = 119,756,164.32
  5. Step 5: Solve for x
    x = 119,756,164.32/11,819.93
  6. Step 6: Final answer
    x = 10,131.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.