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Finding the Fourth Proportional to 11,745.63, 16,209.72 and 7,759.76

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Solution

The fourth proportional to 11,745.63, 16,209.72 and 7,759.76 is: 10,708.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745.63 : 16,209.72 = 7,759.76 : x
  2. Step 2: Convert to fraction form
    11,745.63/16,209.72 = 7,759.76/x
  3. Step 3: Cross multiply
    11,745.63x = 16,209.72 × 7,759.76
  4. Step 4: Simplify right side
    11,745.63x = 125,783,455.82
  5. Step 5: Solve for x
    x = 125,783,455.82/11,745.63
  6. Step 6: Final answer
    x = 10,708.96

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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.