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Finding the Fourth Proportional to 5,419.96, 8,129.03 and 2,133.99

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Solution

The fourth proportional to 5,419.96, 8,129.03 and 2,133.99 is: 3,200.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.96 : 8,129.03 = 2,133.99 : x
  2. Step 2: Convert to fraction form
    5,419.96/8,129.03 = 2,133.99/x
  3. Step 3: Cross multiply
    5,419.96x = 8,129.03 × 2,133.99
  4. Step 4: Simplify right side
    5,419.96x = 17,347,258.06
  5. Step 5: Solve for x
    x = 17,347,258.06/5,419.96
  6. Step 6: Final answer
    x = 3,200.63

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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.