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Finding the Fourth Proportional to 13,674.66, 20,508.30 and 5,777.22

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Solution

The fourth proportional to 13,674.66, 20,508.30 and 5,777.22 is: 8,664.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.66 : 20,508.30 = 5,777.22 : x
  2. Step 2: Convert to fraction form
    13,674.66/20,508.30 = 5,777.22/x
  3. Step 3: Cross multiply
    13,674.66x = 20,508.30 × 5,777.22
  4. Step 4: Simplify right side
    13,674.66x = 118,480,960.93
  5. Step 5: Solve for x
    x = 118,480,960.93/13,674.66
  6. Step 6: Final answer
    x = 8,664.27

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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.