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Finding the Fourth Proportional to 3,286, 4,929.72 and 1,234

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Solution

The fourth proportional to 3,286, 4,929.72 and 1,234 is: 1,851.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286 : 4,929.72 = 1,234 : x
  2. Step 2: Convert to fraction form
    3,286/4,929.72 = 1,234/x
  3. Step 3: Cross multiply
    3,286x = 4,929.72 × 1,234
  4. Step 4: Simplify right side
    3,286x = 6,083,274.48
  5. Step 5: Solve for x
    x = 6,083,274.48/3,286
  6. Step 6: Final answer
    x = 1,851.27

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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.