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Finding the Fourth Proportional to 14,830.74, 20,447.82 and 11,634.12

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Solution

The fourth proportional to 14,830.74, 20,447.82 and 11,634.12 is: 16,040.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,830.74 : 20,447.82 = 11,634.12 : x
  2. Step 2: Convert to fraction form
    14,830.74/20,447.82 = 11,634.12/x
  3. Step 3: Cross multiply
    14,830.74x = 20,447.82 × 11,634.12
  4. Step 4: Simplify right side
    14,830.74x = 237,892,391.62
  5. Step 5: Solve for x
    x = 237,892,391.62/14,830.74
  6. Step 6: Final answer
    x = 16,040.49

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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.