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Finding the Fourth Proportional to 11,712.63, 16,170.11 and 7,745.25

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Solution

The fourth proportional to 11,712.63, 16,170.11 and 7,745.25 is: 10,692.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.63 : 16,170.11 = 7,745.25 : x
  2. Step 2: Convert to fraction form
    11,712.63/16,170.11 = 7,745.25/x
  3. Step 3: Cross multiply
    11,712.63x = 16,170.11 × 7,745.25
  4. Step 4: Simplify right side
    11,712.63x = 125,241,544.48
  5. Step 5: Solve for x
    x = 125,241,544.48/11,712.63
  6. Step 6: Final answer
    x = 10,692.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.