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Finding the Fourth Proportional to 30,007, 41,409.66 and 16,759

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Solution

The fourth proportional to 30,007, 41,409.66 and 16,759 is: 23,127.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,007 : 41,409.66 = 16,759 : x
  2. Step 2: Convert to fraction form
    30,007/41,409.66 = 16,759/x
  3. Step 3: Cross multiply
    30,007x = 41,409.66 × 16,759
  4. Step 4: Simplify right side
    30,007x = 693,984,491.94
  5. Step 5: Solve for x
    x = 693,984,491.94/30,007
  6. Step 6: Final answer
    x = 23,127.42

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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.