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Finding the Fourth Proportional to 13,643.73, 18,828.18 and 7,675.41

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Solution

The fourth proportional to 13,643.73, 18,828.18 and 7,675.41 is: 10,591.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.73 : 18,828.18 = 7,675.41 : x
  2. Step 2: Convert to fraction form
    13,643.73/18,828.18 = 7,675.41/x
  3. Step 3: Cross multiply
    13,643.73x = 18,828.18 × 7,675.41
  4. Step 4: Simplify right side
    13,643.73x = 144,514,001.05
  5. Step 5: Solve for x
    x = 144,514,001.05/13,643.73
  6. Step 6: Final answer
    x = 10,591.97

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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.