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Finding the Fourth Proportional to 7,745.76, 11,620.44 and 2,551.68

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Solution

The fourth proportional to 7,745.76, 11,620.44 and 2,551.68 is: 3,828.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.76 : 11,620.44 = 2,551.68 : x
  2. Step 2: Convert to fraction form
    7,745.76/11,620.44 = 2,551.68/x
  3. Step 3: Cross multiply
    7,745.76x = 11,620.44 × 2,551.68
  4. Step 4: Simplify right side
    7,745.76x = 29,651,644.34
  5. Step 5: Solve for x
    x = 29,651,644.34/7,745.76
  6. Step 6: Final answer
    x = 3,828.11

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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.