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Finding the Fourth Proportional to 13,732.83, 20,607.71 and 5,411.43

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Solution

The fourth proportional to 13,732.83, 20,607.71 and 5,411.43 is: 8,120.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,732.83 : 20,607.71 = 5,411.43 : x
  2. Step 2: Convert to fraction form
    13,732.83/20,607.71 = 5,411.43/x
  3. Step 3: Cross multiply
    13,732.83x = 20,607.71 × 5,411.43
  4. Step 4: Simplify right side
    13,732.83x = 111,517,153.07
  5. Step 5: Solve for x
    x = 111,517,153.07/13,732.83
  6. Step 6: Final answer
    x = 8,120.48

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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.