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Finding the Fourth Proportional to 3,971.88, 5,977.77 and 2,989.78

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Solution

The fourth proportional to 3,971.88, 5,977.77 and 2,989.78 is: 4,499.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.88 : 5,977.77 = 2,989.78 : x
  2. Step 2: Convert to fraction form
    3,971.88/5,977.77 = 2,989.78/x
  3. Step 3: Cross multiply
    3,971.88x = 5,977.77 × 2,989.78
  4. Step 4: Simplify right side
    3,971.88x = 17,872,217.19
  5. Step 5: Solve for x
    x = 17,872,217.19/3,971.88
  6. Step 6: Final answer
    x = 4,499.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.