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Finding the Fourth Proportional to 30,309.26, 41,828.07 and 16,880.51

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Solution

The fourth proportional to 30,309.26, 41,828.07 and 16,880.51 is: 23,295.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,309.26 : 41,828.07 = 16,880.51 : x
  2. Step 2: Convert to fraction form
    30,309.26/41,828.07 = 16,880.51/x
  3. Step 3: Cross multiply
    30,309.26x = 41,828.07 × 16,880.51
  4. Step 4: Simplify right side
    30,309.26x = 706,079,061.72
  5. Step 5: Solve for x
    x = 706,079,061.72/30,309.26
  6. Step 6: Final answer
    x = 23,295.82

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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.