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Finding the Fourth Proportional to 3,714.85, 5,128.28 and 2,968.03

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Solution

The fourth proportional to 3,714.85, 5,128.28 and 2,968.03 is: 4,097.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.85 : 5,128.28 = 2,968.03 : x
  2. Step 2: Convert to fraction form
    3,714.85/5,128.28 = 2,968.03/x
  3. Step 3: Cross multiply
    3,714.85x = 5,128.28 × 2,968.03
  4. Step 4: Simplify right side
    3,714.85x = 15,220,874.05
  5. Step 5: Solve for x
    x = 15,220,874.05/3,714.85
  6. Step 6: Final answer
    x = 4,097.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.