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Finding the Fourth Proportional to 13,822.74, 19,073.69 and 8,447.88

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Solution

The fourth proportional to 13,822.74, 19,073.69 and 8,447.88 is: 11,657.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.74 : 19,073.69 = 8,447.88 : x
  2. Step 2: Convert to fraction form
    13,822.74/19,073.69 = 8,447.88/x
  3. Step 3: Cross multiply
    13,822.74x = 19,073.69 × 8,447.88
  4. Step 4: Simplify right side
    13,822.74x = 161,132,244.28
  5. Step 5: Solve for x
    x = 161,132,244.28/13,822.74
  6. Step 6: Final answer
    x = 11,657.04

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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.