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Finding the Fourth Proportional to 7,758.89, 11,631.74 and 3,082.19

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Solution

The fourth proportional to 7,758.89, 11,631.74 and 3,082.19 is: 4,620.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.89 : 11,631.74 = 3,082.19 : x
  2. Step 2: Convert to fraction form
    7,758.89/11,631.74 = 3,082.19/x
  3. Step 3: Cross multiply
    7,758.89x = 11,631.74 × 3,082.19
  4. Step 4: Simplify right side
    7,758.89x = 35,851,232.71
  5. Step 5: Solve for x
    x = 35,851,232.71/7,758.89
  6. Step 6: Final answer
    x = 4,620.67

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Why These Related Problems?

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