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Finding the Fourth Proportional to 3,963.78, 5,946.56 and 2,113.92

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Solution

The fourth proportional to 3,963.78, 5,946.56 and 2,113.92 is: 3,171.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.78 : 5,946.56 = 2,113.92 : x
  2. Step 2: Convert to fraction form
    3,963.78/5,946.56 = 2,113.92/x
  3. Step 3: Cross multiply
    3,963.78x = 5,946.56 × 2,113.92
  4. Step 4: Simplify right side
    3,963.78x = 12,570,541.55
  5. Step 5: Solve for x
    x = 12,570,541.55/3,963.78
  6. Step 6: Final answer
    x = 3,171.35

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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.