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Finding the Fourth Proportional to 13,917.10, 20,880.94 and 8,374.27

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Solution

The fourth proportional to 13,917.10, 20,880.94 and 8,374.27 is: 12,564.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,917.10 : 20,880.94 = 8,374.27 : x
  2. Step 2: Convert to fraction form
    13,917.10/20,880.94 = 8,374.27/x
  3. Step 3: Cross multiply
    13,917.10x = 20,880.94 × 8,374.27
  4. Step 4: Simplify right side
    13,917.10x = 174,862,629.41
  5. Step 5: Solve for x
    x = 174,862,629.41/13,917.10
  6. Step 6: Final answer
    x = 12,564.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.