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Finding the Fourth Proportional to 33,825, 46,678.62 and 18,921

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Solution

The fourth proportional to 33,825, 46,678.62 and 18,921 is: 26,111.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,825 : 46,678.62 = 18,921 : x
  2. Step 2: Convert to fraction form
    33,825/46,678.62 = 18,921/x
  3. Step 3: Cross multiply
    33,825x = 46,678.62 × 18,921
  4. Step 4: Simplify right side
    33,825x = 883,206,169.02
  5. Step 5: Solve for x
    x = 883,206,169.02/33,825
  6. Step 6: Final answer
    x = 26,111.05

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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.