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Finding the Fourth Proportional to 13,290, 19,932.84 and 9,382.56

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Solution

The fourth proportional to 13,290, 19,932.84 and 9,382.56 is: 14,072.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,290 : 19,932.84 = 9,382.56 : x
  2. Step 2: Convert to fraction form
    13,290/19,932.84 = 9,382.56/x
  3. Step 3: Cross multiply
    13,290x = 19,932.84 × 9,382.56
  4. Step 4: Simplify right side
    13,290x = 187,021,067.27
  5. Step 5: Solve for x
    x = 187,021,067.27/13,290
  6. Step 6: Final answer
    x = 14,072.32

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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.