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Finding the Fourth Proportional to 3,968.12, 5,951.16 and 1,335.21

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Solution

The fourth proportional to 3,968.12, 5,951.16 and 1,335.21 is: 2,002.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.12 : 5,951.16 = 1,335.21 : x
  2. Step 2: Convert to fraction form
    3,968.12/5,951.16 = 1,335.21/x
  3. Step 3: Cross multiply
    3,968.12x = 5,951.16 × 1,335.21
  4. Step 4: Simplify right side
    3,968.12x = 7,946,048.34
  5. Step 5: Solve for x
    x = 7,946,048.34/3,968.12
  6. Step 6: Final answer
    x = 2,002.47

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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.