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Finding the Fourth Proportional to 8,200, 11,316 and 4,888

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Solution

The fourth proportional to 8,200, 11,316 and 4,888 is: 6,745.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200 : 11,316 = 4,888 : x
  2. Step 2: Convert to fraction form
    8,200/11,316 = 4,888/x
  3. Step 3: Cross multiply
    8,200x = 11,316 × 4,888
  4. Step 4: Simplify right side
    8,200x = 55,312,608
  5. Step 5: Solve for x
    x = 55,312,608/8,200
  6. Step 6: Final answer
    x = 6,745.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.