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Finding the Fourth Proportional to 3,763, 5,192.78 and 2,084.40

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Solution

The fourth proportional to 3,763, 5,192.78 and 2,084.40 is: 2,876.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763 : 5,192.78 = 2,084.40 : x
  2. Step 2: Convert to fraction form
    3,763/5,192.78 = 2,084.40/x
  3. Step 3: Cross multiply
    3,763x = 5,192.78 × 2,084.40
  4. Step 4: Simplify right side
    3,763x = 10,823,830.63
  5. Step 5: Solve for x
    x = 10,823,830.63/3,763
  6. Step 6: Final answer
    x = 2,876.38

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1.5x scale

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.