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Finding the Fourth Proportional to 3,890.57, 5,841.29 and 3,714.21

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Solution

The fourth proportional to 3,890.57, 5,841.29 and 3,714.21 is: 5,576.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.57 : 5,841.29 = 3,714.21 : x
  2. Step 2: Convert to fraction form
    3,890.57/5,841.29 = 3,714.21/x
  3. Step 3: Cross multiply
    3,890.57x = 5,841.29 × 3,714.21
  4. Step 4: Simplify right side
    3,890.57x = 21,695,787.02
  5. Step 5: Solve for x
    x = 21,695,787.02/3,890.57
  6. Step 6: Final answer
    x = 5,576.51

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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.