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Finding the Fourth Proportional to 13,802.12, 19,049.41 and 8,136.53

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Solution

The fourth proportional to 13,802.12, 19,049.41 and 8,136.53 is: 11,229.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.12 : 19,049.41 = 8,136.53 : x
  2. Step 2: Convert to fraction form
    13,802.12/19,049.41 = 8,136.53/x
  3. Step 3: Cross multiply
    13,802.12x = 19,049.41 × 8,136.53
  4. Step 4: Simplify right side
    13,802.12x = 154,996,075.61
  5. Step 5: Solve for x
    x = 154,996,075.61/13,802.12
  6. Step 6: Final answer
    x = 11,229.87

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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.