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Finding the Fourth Proportional to 3,679, 5,077.02 and 2,107.60

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Solution

The fourth proportional to 3,679, 5,077.02 and 2,107.60 is: 2,908.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679 : 5,077.02 = 2,107.60 : x
  2. Step 2: Convert to fraction form
    3,679/5,077.02 = 2,107.60/x
  3. Step 3: Cross multiply
    3,679x = 5,077.02 × 2,107.60
  4. Step 4: Simplify right side
    3,679x = 10,700,327.35
  5. Step 5: Solve for x
    x = 10,700,327.35/3,679
  6. Step 6: Final answer
    x = 2,908.49

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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.