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Finding the Fourth Proportional to 3,986.40, 5,978.77 and 3,788.80

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Solution

The fourth proportional to 3,986.40, 5,978.77 and 3,788.80 is: 5,682.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.40 : 5,978.77 = 3,788.80 : x
  2. Step 2: Convert to fraction form
    3,986.40/5,978.77 = 3,788.80/x
  3. Step 3: Cross multiply
    3,986.40x = 5,978.77 × 3,788.80
  4. Step 4: Simplify right side
    3,986.40x = 22,652,363.78
  5. Step 5: Solve for x
    x = 22,652,363.78/3,986.40
  6. Step 6: Final answer
    x = 5,682.41

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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.