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Finding the Fourth Proportional to 13,709.33, 20,572.22 and 5,918.13

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Solution

The fourth proportional to 13,709.33, 20,572.22 and 5,918.13 is: 8,880.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.33 : 20,572.22 = 5,918.13 : x
  2. Step 2: Convert to fraction form
    13,709.33/20,572.22 = 5,918.13/x
  3. Step 3: Cross multiply
    13,709.33x = 20,572.22 × 5,918.13
  4. Step 4: Simplify right side
    13,709.33x = 121,749,042.76
  5. Step 5: Solve for x
    x = 121,749,042.76/13,709.33
  6. Step 6: Final answer
    x = 8,880.75

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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.