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Finding the Fourth Proportional to 13,649.42, 20,461.17 and 5,334.77

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Solution

The fourth proportional to 13,649.42, 20,461.17 and 5,334.77 is: 7,997.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.42 : 20,461.17 = 5,334.77 : x
  2. Step 2: Convert to fraction form
    13,649.42/20,461.17 = 5,334.77/x
  3. Step 3: Cross multiply
    13,649.42x = 20,461.17 × 5,334.77
  4. Step 4: Simplify right side
    13,649.42x = 109,155,635.88
  5. Step 5: Solve for x
    x = 109,155,635.88/13,649.42
  6. Step 6: Final answer
    x = 7,997.09

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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.