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Finding the Fourth Proportional to 7,868, 11,802 and 2,673.92

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Solution

The fourth proportional to 7,868, 11,802 and 2,673.92 is: 4,010.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868 : 11,802 = 2,673.92 : x
  2. Step 2: Convert to fraction form
    7,868/11,802 = 2,673.92/x
  3. Step 3: Cross multiply
    7,868x = 11,802 × 2,673.92
  4. Step 4: Simplify right side
    7,868x = 31,557,603.84
  5. Step 5: Solve for x
    x = 31,557,603.84/7,868
  6. Step 6: Final answer
    x = 4,010.88

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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.