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Finding the Fourth Proportional to 3,679, 5,077.26 and 2,064.06

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Solution

The fourth proportional to 3,679, 5,077.26 and 2,064.06 is: 2,848.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679 : 5,077.26 = 2,064.06 : x
  2. Step 2: Convert to fraction form
    3,679/5,077.26 = 2,064.06/x
  3. Step 3: Cross multiply
    3,679x = 5,077.26 × 2,064.06
  4. Step 4: Simplify right side
    3,679x = 10,479,769.28
  5. Step 5: Solve for x
    x = 10,479,769.28/3,679
  6. Step 6: Final answer
    x = 2,848.54

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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.