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Finding the Fourth Proportional to 13,822.43, 20,737.74 and 5,497.71

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Solution

The fourth proportional to 13,822.43, 20,737.74 and 5,497.71 is: 8,248.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.43 : 20,737.74 = 5,497.71 : x
  2. Step 2: Convert to fraction form
    13,822.43/20,737.74 = 5,497.71/x
  3. Step 3: Cross multiply
    13,822.43x = 20,737.74 × 5,497.71
  4. Step 4: Simplify right side
    13,822.43x = 114,010,080.58
  5. Step 5: Solve for x
    x = 114,010,080.58/13,822.43
  6. Step 6: Final answer
    x = 8,248.20

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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.