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Finding the Fourth Proportional to 5,408, 8,112 and 1,304

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Solution

The fourth proportional to 5,408, 8,112 and 1,304 is: 1,956

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408 : 8,112 = 1,304 : x
  2. Step 2: Convert to fraction form
    5,408/8,112 = 1,304/x
  3. Step 3: Cross multiply
    5,408x = 8,112 × 1,304
  4. Step 4: Simplify right side
    5,408x = 10,578,048
  5. Step 5: Solve for x
    x = 10,578,048/5,408
  6. Step 6: Final answer
    x = 1,956

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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.