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Finding the Fourth Proportional to 7,722.81, 11,562.30 and 5,082.36

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Solution

The fourth proportional to 7,722.81, 11,562.30 and 5,082.36 is: 7,609.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.81 : 11,562.30 = 5,082.36 : x
  2. Step 2: Convert to fraction form
    7,722.81/11,562.30 = 5,082.36/x
  3. Step 3: Cross multiply
    7,722.81x = 11,562.30 × 5,082.36
  4. Step 4: Simplify right side
    7,722.81x = 58,763,771.03
  5. Step 5: Solve for x
    x = 58,763,771.03/7,722.81
  6. Step 6: Final answer
    x = 7,609.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.