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Finding the Fourth Proportional to 13,586.18, 20,324.18 and 11,757.74

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Solution

The fourth proportional to 13,586.18, 20,324.18 and 11,757.74 is: 17,588.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586.18 : 20,324.18 = 11,757.74 : x
  2. Step 2: Convert to fraction form
    13,586.18/20,324.18 = 11,757.74/x
  3. Step 3: Cross multiply
    13,586.18x = 20,324.18 × 11,757.74
  4. Step 4: Simplify right side
    13,586.18x = 238,966,351.93
  5. Step 5: Solve for x
    x = 238,966,351.93/13,586.18
  6. Step 6: Final answer
    x = 17,588.94

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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.