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Finding the Fourth Proportional to 3,705.84, 5,114.16 and 2,213.88

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Solution

The fourth proportional to 3,705.84, 5,114.16 and 2,213.88 is: 3,055.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.84 : 5,114.16 = 2,213.88 : x
  2. Step 2: Convert to fraction form
    3,705.84/5,114.16 = 2,213.88/x
  3. Step 3: Cross multiply
    3,705.84x = 5,114.16 × 2,213.88
  4. Step 4: Simplify right side
    3,705.84x = 11,322,136.54
  5. Step 5: Solve for x
    x = 11,322,136.54/3,705.84
  6. Step 6: Final answer
    x = 3,055.21

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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.