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Finding the Fourth Proportional to 3,978.40, 5,963.94 and 2,130.78

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Solution

The fourth proportional to 3,978.40, 5,963.94 and 2,130.78 is: 3,194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.40 : 5,963.94 = 2,130.78 : x
  2. Step 2: Convert to fraction form
    3,978.40/5,963.94 = 2,130.78/x
  3. Step 3: Cross multiply
    3,978.40x = 5,963.94 × 2,130.78
  4. Step 4: Simplify right side
    3,978.40x = 12,707,844.07
  5. Step 5: Solve for x
    x = 12,707,844.07/3,978.40
  6. Step 6: Final answer
    x = 3,194.21

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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.