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Finding the Fourth Proportional to 13,640.28, 18,821.64 and 7,671.72

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Solution

The fourth proportional to 13,640.28, 18,821.64 and 7,671.72 is: 10,585.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.28 : 18,821.64 = 7,671.72 : x
  2. Step 2: Convert to fraction form
    13,640.28/18,821.64 = 7,671.72/x
  3. Step 3: Cross multiply
    13,640.28x = 18,821.64 × 7,671.72
  4. Step 4: Simplify right side
    13,640.28x = 144,394,352.02
  5. Step 5: Solve for x
    x = 144,394,352.02/13,640.28
  6. Step 6: Final answer
    x = 10,585.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.