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Finding the Fourth Proportional to 33,684, 46,483.92 and 18,780

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Solution

The fourth proportional to 33,684, 46,483.92 and 18,780 is: 25,916.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,684 : 46,483.92 = 18,780 : x
  2. Step 2: Convert to fraction form
    33,684/46,483.92 = 18,780/x
  3. Step 3: Cross multiply
    33,684x = 46,483.92 × 18,780
  4. Step 4: Simplify right side
    33,684x = 872,968,017.60
  5. Step 5: Solve for x
    x = 872,968,017.60/33,684
  6. Step 6: Final answer
    x = 25,916.40

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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.