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Finding the Fourth Proportional to 13,643.97, 18,828.02 and 7,676.21

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Solution

The fourth proportional to 13,643.97, 18,828.02 and 7,676.21 is: 10,592.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.97 : 18,828.02 = 7,676.21 : x
  2. Step 2: Convert to fraction form
    13,643.97/18,828.02 = 7,676.21/x
  3. Step 3: Cross multiply
    13,643.97x = 18,828.02 × 7,676.21
  4. Step 4: Simplify right side
    13,643.97x = 144,527,702.88
  5. Step 5: Solve for x
    x = 144,527,702.88/13,643.97
  6. Step 6: Final answer
    x = 10,592.79

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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.