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Finding the Fourth Proportional to 13,383.46, 18,468.44 and 7,414.77

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Solution

The fourth proportional to 13,383.46, 18,468.44 and 7,414.77 is: 10,231.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,383.46 : 18,468.44 = 7,414.77 : x
  2. Step 2: Convert to fraction form
    13,383.46/18,468.44 = 7,414.77/x
  3. Step 3: Cross multiply
    13,383.46x = 18,468.44 × 7,414.77
  4. Step 4: Simplify right side
    13,383.46x = 136,939,234.86
  5. Step 5: Solve for x
    x = 136,939,234.86/13,383.46
  6. Step 6: Final answer
    x = 10,231.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.