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Finding the Fourth Proportional to 5,408.75, 8,114.12 and 1,711.91

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Solution

The fourth proportional to 5,408.75, 8,114.12 and 1,711.91 is: 2,568.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.75 : 8,114.12 = 1,711.91 : x
  2. Step 2: Convert to fraction form
    5,408.75/8,114.12 = 1,711.91/x
  3. Step 3: Cross multiply
    5,408.75x = 8,114.12 × 1,711.91
  4. Step 4: Simplify right side
    5,408.75x = 13,890,600.46
  5. Step 5: Solve for x
    x = 13,890,600.46/5,408.75
  6. Step 6: Final answer
    x = 2,568.17

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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.