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Finding the Fourth Proportional to 3,966, 5,949 and 1,230

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Solution

The fourth proportional to 3,966, 5,949 and 1,230 is: 1,845

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966 : 5,949 = 1,230 : x
  2. Step 2: Convert to fraction form
    3,966/5,949 = 1,230/x
  3. Step 3: Cross multiply
    3,966x = 5,949 × 1,230
  4. Step 4: Simplify right side
    3,966x = 7,317,270
  5. Step 5: Solve for x
    x = 7,317,270/3,966
  6. Step 6: Final answer
    x = 1,845

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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.