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Finding the Fourth Proportional to 3,679.58, 5,077.86 and 2,108

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Solution

The fourth proportional to 3,679.58, 5,077.86 and 2,108 is: 2,909.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.58 : 5,077.86 = 2,108 : x
  2. Step 2: Convert to fraction form
    3,679.58/5,077.86 = 2,108/x
  3. Step 3: Cross multiply
    3,679.58x = 5,077.86 × 2,108
  4. Step 4: Simplify right side
    3,679.58x = 10,704,128.88
  5. Step 5: Solve for x
    x = 10,704,128.88/3,679.58
  6. Step 6: Final answer
    x = 2,909.06

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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.