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Finding the Fourth Proportional to 30,234, 41,726.86 and 18,297.54

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Solution

The fourth proportional to 30,234, 41,726.86 and 18,297.54 is: 25,252.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,234 : 41,726.86 = 18,297.54 : x
  2. Step 2: Convert to fraction form
    30,234/41,726.86 = 18,297.54/x
  3. Step 3: Cross multiply
    30,234x = 41,726.86 × 18,297.54
  4. Step 4: Simplify right side
    30,234x = 763,498,889.92
  5. Step 5: Solve for x
    x = 763,498,889.92/30,234
  6. Step 6: Final answer
    x = 25,252.99

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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.