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Finding the Fourth Proportional to 33,620, 46,395.78 and 18,716

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Solution

The fourth proportional to 33,620, 46,395.78 and 18,716 is: 25,828.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,620 : 46,395.78 = 18,716 : x
  2. Step 2: Convert to fraction form
    33,620/46,395.78 = 18,716/x
  3. Step 3: Cross multiply
    33,620x = 46,395.78 × 18,716
  4. Step 4: Simplify right side
    33,620x = 868,343,418.48
  5. Step 5: Solve for x
    x = 868,343,418.48/33,620
  6. Step 6: Final answer
    x = 25,828.18

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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.