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Finding the Fourth Proportional to 12,933.72, 19,394.44 and 5,911.68

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Solution

The fourth proportional to 12,933.72, 19,394.44 and 5,911.68 is: 8,864.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,933.72 : 19,394.44 = 5,911.68 : x
  2. Step 2: Convert to fraction form
    12,933.72/19,394.44 = 5,911.68/x
  3. Step 3: Cross multiply
    12,933.72x = 19,394.44 × 5,911.68
  4. Step 4: Simplify right side
    12,933.72x = 114,653,723.06
  5. Step 5: Solve for x
    x = 114,653,723.06/12,933.72
  6. Step 6: Final answer
    x = 8,864.71

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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.