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Finding the Fourth Proportional to 8,696.50, 11,999.11 and 5,869.11

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Solution

The fourth proportional to 8,696.50, 11,999.11 and 5,869.11 is: 8,097.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.50 : 11,999.11 = 5,869.11 : x
  2. Step 2: Convert to fraction form
    8,696.50/11,999.11 = 5,869.11/x
  3. Step 3: Cross multiply
    8,696.50x = 11,999.11 × 5,869.11
  4. Step 4: Simplify right side
    8,696.50x = 70,424,096.49
  5. Step 5: Solve for x
    x = 70,424,096.49/8,696.50
  6. Step 6: Final answer
    x = 8,097.98

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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.