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Finding the Fourth Proportional to 4,966, 7,449 and 1,318

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Solution

The fourth proportional to 4,966, 7,449 and 1,318 is: 1,977

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966 : 7,449 = 1,318 : x
  2. Step 2: Convert to fraction form
    4,966/7,449 = 1,318/x
  3. Step 3: Cross multiply
    4,966x = 7,449 × 1,318
  4. Step 4: Simplify right side
    4,966x = 9,817,782
  5. Step 5: Solve for x
    x = 9,817,782/4,966
  6. Step 6: Final answer
    x = 1,977

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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.