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Finding the Fourth Proportional to 3,706, 5,114.42 and 2,112.90

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Solution

The fourth proportional to 3,706, 5,114.42 and 2,112.90 is: 2,915.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706 : 5,114.42 = 2,112.90 : x
  2. Step 2: Convert to fraction form
    3,706/5,114.42 = 2,112.90/x
  3. Step 3: Cross multiply
    3,706x = 5,114.42 × 2,112.90
  4. Step 4: Simplify right side
    3,706x = 10,806,258.02
  5. Step 5: Solve for x
    x = 10,806,258.02/3,706
  6. Step 6: Final answer
    x = 2,915.88

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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.