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Finding the Fourth Proportional to 3,144.67, 4,714.29 and 1,294.63

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Solution

The fourth proportional to 3,144.67, 4,714.29 and 1,294.63 is: 1,940.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.67 : 4,714.29 = 1,294.63 : x
  2. Step 2: Convert to fraction form
    3,144.67/4,714.29 = 1,294.63/x
  3. Step 3: Cross multiply
    3,144.67x = 4,714.29 × 1,294.63
  4. Step 4: Simplify right side
    3,144.67x = 6,103,249.48
  5. Step 5: Solve for x
    x = 6,103,249.48/3,144.67
  6. Step 6: Final answer
    x = 1,940.83

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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.