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Finding the Fourth Proportional to 5,899.80, 8,138.20 and 3,775.80

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Solution

The fourth proportional to 5,899.80, 8,138.20 and 3,775.80 is: 5,208.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.80 : 8,138.20 = 3,775.80 : x
  2. Step 2: Convert to fraction form
    5,899.80/8,138.20 = 3,775.80/x
  3. Step 3: Cross multiply
    5,899.80x = 8,138.20 × 3,775.80
  4. Step 4: Simplify right side
    5,899.80x = 30,728,215.56
  5. Step 5: Solve for x
    x = 30,728,215.56/5,899.80
  6. Step 6: Final answer
    x = 5,208.35

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1.5x scale

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.