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Finding the Fourth Proportional to 3,425.77, 5,137.53 and 1,234

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Solution

The fourth proportional to 3,425.77, 5,137.53 and 1,234 is: 1,850.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.77 : 5,137.53 = 1,234 : x
  2. Step 2: Convert to fraction form
    3,425.77/5,137.53 = 1,234/x
  3. Step 3: Cross multiply
    3,425.77x = 5,137.53 × 1,234
  4. Step 4: Simplify right side
    3,425.77x = 6,339,712.02
  5. Step 5: Solve for x
    x = 6,339,712.02/3,425.77
  6. Step 6: Final answer
    x = 1,850.59

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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.