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Finding the Fourth Proportional to 9,211.23, 12,696.33 and 6,518.97

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Solution

The fourth proportional to 9,211.23, 12,696.33 and 6,518.97 is: 8,985.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.23 : 12,696.33 = 6,518.97 : x
  2. Step 2: Convert to fraction form
    9,211.23/12,696.33 = 6,518.97/x
  3. Step 3: Cross multiply
    9,211.23x = 12,696.33 × 6,518.97
  4. Step 4: Simplify right side
    9,211.23x = 82,766,994.38
  5. Step 5: Solve for x
    x = 82,766,994.38/9,211.23
  6. Step 6: Final answer
    x = 8,985.44

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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.