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Finding the Fourth Proportional to 30,009, 41,412.42 and 16,761

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Solution

The fourth proportional to 30,009, 41,412.42 and 16,761 is: 23,130.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,009 : 41,412.42 = 16,761 : x
  2. Step 2: Convert to fraction form
    30,009/41,412.42 = 16,761/x
  3. Step 3: Cross multiply
    30,009x = 41,412.42 × 16,761
  4. Step 4: Simplify right side
    30,009x = 694,113,571.62
  5. Step 5: Solve for x
    x = 694,113,571.62/30,009
  6. Step 6: Final answer
    x = 23,130.18

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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.