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Finding the Fourth Proportional to 8,211.33, 11,328.78 and 4,982.17

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Solution

The fourth proportional to 8,211.33, 11,328.78 and 4,982.17 is: 6,873.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.33 : 11,328.78 = 4,982.17 : x
  2. Step 2: Convert to fraction form
    8,211.33/11,328.78 = 4,982.17/x
  3. Step 3: Cross multiply
    8,211.33x = 11,328.78 × 4,982.17
  4. Step 4: Simplify right side
    8,211.33x = 56,441,907.85
  5. Step 5: Solve for x
    x = 56,441,907.85/8,211.33
  6. Step 6: Final answer
    x = 6,873.66

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1.5x scale

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.