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Finding the Fourth Proportional to 20,097.52, 27,715.30 and 12,029.79

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Solution

The fourth proportional to 20,097.52, 27,715.30 and 12,029.79 is: 16,589.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097.52 : 27,715.30 = 12,029.79 : x
  2. Step 2: Convert to fraction form
    20,097.52/27,715.30 = 12,029.79/x
  3. Step 3: Cross multiply
    20,097.52x = 27,715.30 × 12,029.79
  4. Step 4: Simplify right side
    20,097.52x = 333,409,238.79
  5. Step 5: Solve for x
    x = 333,409,238.79/20,097.52
  6. Step 6: Final answer
    x = 16,589.57

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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.