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Finding the Fourth Proportional to 13,726.38, 18,942.75 and 8,424.12

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Solution

The fourth proportional to 13,726.38, 18,942.75 and 8,424.12 is: 11,625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,726.38 : 18,942.75 = 8,424.12 : x
  2. Step 2: Convert to fraction form
    13,726.38/18,942.75 = 8,424.12/x
  3. Step 3: Cross multiply
    13,726.38x = 18,942.75 × 8,424.12
  4. Step 4: Simplify right side
    13,726.38x = 159,575,999.13
  5. Step 5: Solve for x
    x = 159,575,999.13/13,726.38
  6. Step 6: Final answer
    x = 11,625.50

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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.