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Finding the Fourth Proportional to 11,745.76, 16,208.86 and 6,440.56

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Solution

The fourth proportional to 11,745.76, 16,208.86 and 6,440.56 is: 8,887.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745.76 : 16,208.86 = 6,440.56 : x
  2. Step 2: Convert to fraction form
    11,745.76/16,208.86 = 6,440.56/x
  3. Step 3: Cross multiply
    11,745.76x = 16,208.86 × 6,440.56
  4. Step 4: Simplify right side
    11,745.76x = 104,394,135.36
  5. Step 5: Solve for x
    x = 104,394,135.36/11,745.76
  6. Step 6: Final answer
    x = 8,887.81

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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.