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Finding the Fourth Proportional to 11,745.78, 17,620.30 and 6,817.74

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Solution

The fourth proportional to 11,745.78, 17,620.30 and 6,817.74 is: 10,227.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745.78 : 17,620.30 = 6,817.74 : x
  2. Step 2: Convert to fraction form
    11,745.78/17,620.30 = 6,817.74/x
  3. Step 3: Cross multiply
    11,745.78x = 17,620.30 × 6,817.74
  4. Step 4: Simplify right side
    11,745.78x = 120,130,624.12
  5. Step 5: Solve for x
    x = 120,130,624.12/11,745.78
  6. Step 6: Final answer
    x = 10,227.56

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1.5x scale

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.