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Finding the Fourth Proportional to 1,868.62, 2,797.53 and 1,408.33

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Solution

The fourth proportional to 1,868.62, 2,797.53 and 1,408.33 is: 2,108.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.62 : 2,797.53 = 1,408.33 : x
  2. Step 2: Convert to fraction form
    1,868.62/2,797.53 = 1,408.33/x
  3. Step 3: Cross multiply
    1,868.62x = 2,797.53 × 1,408.33
  4. Step 4: Simplify right side
    1,868.62x = 3,939,845.42
  5. Step 5: Solve for x
    x = 3,939,845.42/1,868.62
  6. Step 6: Final answer
    x = 2,108.43

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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.