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Finding the Fourth Proportional to 13,586.82, 20,384.04 and 7,747.56

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Solution

The fourth proportional to 13,586.82, 20,384.04 and 7,747.56 is: 11,623.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586.82 : 20,384.04 = 7,747.56 : x
  2. Step 2: Convert to fraction form
    13,586.82/20,384.04 = 7,747.56/x
  3. Step 3: Cross multiply
    13,586.82x = 20,384.04 × 7,747.56
  4. Step 4: Simplify right side
    13,586.82x = 157,926,572.94
  5. Step 5: Solve for x
    x = 157,926,572.94/13,586.82
  6. Step 6: Final answer
    x = 11,623.51

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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.