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Finding the Fourth Proportional to 13,649.62, 20,467.52 and 5,323.22

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Solution

The fourth proportional to 13,649.62, 20,467.52 and 5,323.22 is: 7,982.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.62 : 20,467.52 = 5,323.22 : x
  2. Step 2: Convert to fraction form
    13,649.62/20,467.52 = 5,323.22/x
  3. Step 3: Cross multiply
    13,649.62x = 20,467.52 × 5,323.22
  4. Step 4: Simplify right side
    13,649.62x = 108,953,111.81
  5. Step 5: Solve for x
    x = 108,953,111.81/13,649.62
  6. Step 6: Final answer
    x = 7,982.14

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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.