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Finding the Fourth Proportional to 7,448, 11,172 and 1,976

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Solution

The fourth proportional to 7,448, 11,172 and 1,976 is: 2,964

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448 : 11,172 = 1,976 : x
  2. Step 2: Convert to fraction form
    7,448/11,172 = 1,976/x
  3. Step 3: Cross multiply
    7,448x = 11,172 × 1,976
  4. Step 4: Simplify right side
    7,448x = 22,075,872
  5. Step 5: Solve for x
    x = 22,075,872/7,448
  6. Step 6: Final answer
    x = 2,964

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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.