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Finding the Fourth Proportional to 13,209.48, 19,813.68 and 3,348.54

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Solution

The fourth proportional to 13,209.48, 19,813.68 and 3,348.54 is: 5,022.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,209.48 : 19,813.68 = 3,348.54 : x
  2. Step 2: Convert to fraction form
    13,209.48/19,813.68 = 3,348.54/x
  3. Step 3: Cross multiply
    13,209.48x = 19,813.68 × 3,348.54
  4. Step 4: Simplify right side
    13,209.48x = 66,346,900.03
  5. Step 5: Solve for x
    x = 66,346,900.03/13,209.48
  6. Step 6: Final answer
    x = 5,022.67

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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.