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Finding the Fourth Proportional to 13,164.48, 19,749.16 and 11,310.38

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Solution

The fourth proportional to 13,164.48, 19,749.16 and 11,310.38 is: 16,967.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,164.48 : 19,749.16 = 11,310.38 : x
  2. Step 2: Convert to fraction form
    13,164.48/19,749.16 = 11,310.38/x
  3. Step 3: Cross multiply
    13,164.48x = 19,749.16 × 11,310.38
  4. Step 4: Simplify right side
    13,164.48x = 223,370,504.28
  5. Step 5: Solve for x
    x = 223,370,504.28/13,164.48
  6. Step 6: Final answer
    x = 16,967.67

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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.