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Finding the Fourth Proportional to 15,136.89, 20,893.49 and 9,832.47

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Solution

The fourth proportional to 15,136.89, 20,893.49 and 9,832.47 is: 13,571.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,136.89 : 20,893.49 = 9,832.47 : x
  2. Step 2: Convert to fraction form
    15,136.89/20,893.49 = 9,832.47/x
  3. Step 3: Cross multiply
    15,136.89x = 20,893.49 × 9,832.47
  4. Step 4: Simplify right side
    15,136.89x = 205,434,564.46
  5. Step 5: Solve for x
    x = 205,434,564.46/15,136.89
  6. Step 6: Final answer
    x = 13,571.78

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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.