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Finding the Fourth Proportional to 5,422, 8,130 and 3,201.76

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Solution

The fourth proportional to 5,422, 8,130 and 3,201.76 is: 4,800.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422 : 8,130 = 3,201.76 : x
  2. Step 2: Convert to fraction form
    5,422/8,130 = 3,201.76/x
  3. Step 3: Cross multiply
    5,422x = 8,130 × 3,201.76
  4. Step 4: Simplify right side
    5,422x = 26,030,308.80
  5. Step 5: Solve for x
    x = 26,030,308.80/5,422
  6. Step 6: Final answer
    x = 4,800.87

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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.