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Finding the Fourth Proportional to 13,096.35, 19,645.20 and 3,737.75

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Solution

The fourth proportional to 13,096.35, 19,645.20 and 3,737.75 is: 5,606.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096.35 : 19,645.20 = 3,737.75 : x
  2. Step 2: Convert to fraction form
    13,096.35/19,645.20 = 3,737.75/x
  3. Step 3: Cross multiply
    13,096.35x = 19,645.20 × 3,737.75
  4. Step 4: Simplify right side
    13,096.35x = 73,428,748.07
  5. Step 5: Solve for x
    x = 73,428,748.07/13,096.35
  6. Step 6: Final answer
    x = 5,606.81

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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.