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Finding the Fourth Proportional to 30,409, 41,964.42 and 17,161

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Solution

The fourth proportional to 30,409, 41,964.42 and 17,161 is: 23,682.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,409 : 41,964.42 = 17,161 : x
  2. Step 2: Convert to fraction form
    30,409/41,964.42 = 17,161/x
  3. Step 3: Cross multiply
    30,409x = 41,964.42 × 17,161
  4. Step 4: Simplify right side
    30,409x = 720,151,411.62
  5. Step 5: Solve for x
    x = 720,151,411.62/30,409
  6. Step 6: Final answer
    x = 23,682.18

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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.