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Finding the Fourth Proportional to 5,786.60, 8,679.78 and 1,626.56

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Solution

The fourth proportional to 5,786.60, 8,679.78 and 1,626.56 is: 2,439.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.60 : 8,679.78 = 1,626.56 : x
  2. Step 2: Convert to fraction form
    5,786.60/8,679.78 = 1,626.56/x
  3. Step 3: Cross multiply
    5,786.60x = 8,679.78 × 1,626.56
  4. Step 4: Simplify right side
    5,786.60x = 14,118,182.96
  5. Step 5: Solve for x
    x = 14,118,182.96/5,786.60
  6. Step 6: Final answer
    x = 2,439.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.