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Finding the Fourth Proportional to 7,974.84, 11,963.34 and 2,779.50

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Solution

The fourth proportional to 7,974.84, 11,963.34 and 2,779.50 is: 4,169.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974.84 : 11,963.34 = 2,779.50 : x
  2. Step 2: Convert to fraction form
    7,974.84/11,963.34 = 2,779.50/x
  3. Step 3: Cross multiply
    7,974.84x = 11,963.34 × 2,779.50
  4. Step 4: Simplify right side
    7,974.84x = 33,252,103.53
  5. Step 5: Solve for x
    x = 33,252,103.53/7,974.84
  6. Step 6: Final answer
    x = 4,169.63

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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.