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Finding the Fourth Proportional to 3,603.88, 5,408.26 and 1,412.34

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Solution

The fourth proportional to 3,603.88, 5,408.26 and 1,412.34 is: 2,119.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.88 : 5,408.26 = 1,412.34 : x
  2. Step 2: Convert to fraction form
    3,603.88/5,408.26 = 1,412.34/x
  3. Step 3: Cross multiply
    3,603.88x = 5,408.26 × 1,412.34
  4. Step 4: Simplify right side
    3,603.88x = 7,638,301.93
  5. Step 5: Solve for x
    x = 7,638,301.93/3,603.88
  6. Step 6: Final answer
    x = 2,119.47

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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.