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Finding the Fourth Proportional to 30,006.49, 41,409.78 and 17,914

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Solution

The fourth proportional to 30,006.49, 41,409.78 and 17,914 is: 24,721.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,006.49 : 41,409.78 = 17,914 : x
  2. Step 2: Convert to fraction form
    30,006.49/41,409.78 = 17,914/x
  3. Step 3: Cross multiply
    30,006.49x = 41,409.78 × 17,914
  4. Step 4: Simplify right side
    30,006.49x = 741,814,798.92
  5. Step 5: Solve for x
    x = 741,814,798.92/30,006.49
  6. Step 6: Final answer
    x = 24,721.81

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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.