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Finding the Fourth Proportional to 7,687.00, 11,522.30 and 3,304.80

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Solution

The fourth proportional to 7,687.00, 11,522.30 and 3,304.80 is: 4,953.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.00 : 11,522.30 = 3,304.80 : x
  2. Step 2: Convert to fraction form
    7,687.00/11,522.30 = 3,304.80/x
  3. Step 3: Cross multiply
    7,687.00x = 11,522.30 × 3,304.80
  4. Step 4: Simplify right side
    7,687.00x = 38,078,899.11
  5. Step 5: Solve for x
    x = 38,078,899.11/7,687.00
  6. Step 6: Final answer
    x = 4,953.67

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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.