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Finding the Fourth Proportional to 3,985.79, 5,982.48 and 1,906.93

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Solution

The fourth proportional to 3,985.79, 5,982.48 and 1,906.93 is: 2,862.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985.79 : 5,982.48 = 1,906.93 : x
  2. Step 2: Convert to fraction form
    3,985.79/5,982.48 = 1,906.93/x
  3. Step 3: Cross multiply
    3,985.79x = 5,982.48 × 1,906.93
  4. Step 4: Simplify right side
    3,985.79x = 11,408,155.63
  5. Step 5: Solve for x
    x = 11,408,155.63/3,985.79
  6. Step 6: Final answer
    x = 2,862.21

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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.