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Finding the Fourth Proportional to 5,422.60, 8,134.80 and 2,135.80

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Solution

The fourth proportional to 5,422.60, 8,134.80 and 2,135.80 is: 3,204.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.60 : 8,134.80 = 2,135.80 : x
  2. Step 2: Convert to fraction form
    5,422.60/8,134.80 = 2,135.80/x
  3. Step 3: Cross multiply
    5,422.60x = 8,134.80 × 2,135.80
  4. Step 4: Simplify right side
    5,422.60x = 17,374,305.84
  5. Step 5: Solve for x
    x = 17,374,305.84/5,422.60
  6. Step 6: Final answer
    x = 3,204.05

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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.