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Finding the Fourth Proportional to 5,408.44, 8,114.01 and 1,512.81

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Solution

The fourth proportional to 5,408.44, 8,114.01 and 1,512.81 is: 2,269.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.44 : 8,114.01 = 1,512.81 : x
  2. Step 2: Convert to fraction form
    5,408.44/8,114.01 = 1,512.81/x
  3. Step 3: Cross multiply
    5,408.44x = 8,114.01 × 1,512.81
  4. Step 4: Simplify right side
    5,408.44x = 12,274,955.47
  5. Step 5: Solve for x
    x = 12,274,955.47/5,408.44
  6. Step 6: Final answer
    x = 2,269.59

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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.