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Finding the Fourth Proportional to 7,745.76, 11,615.00 and 2,811.92

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Solution

The fourth proportional to 7,745.76, 11,615.00 and 2,811.92 is: 4,216.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.76 : 11,615.00 = 2,811.92 : x
  2. Step 2: Convert to fraction form
    7,745.76/11,615.00 = 2,811.92/x
  3. Step 3: Cross multiply
    7,745.76x = 11,615.00 × 2,811.92
  4. Step 4: Simplify right side
    7,745.76x = 32,660,378.67
  5. Step 5: Solve for x
    x = 32,660,378.67/7,745.76
  6. Step 6: Final answer
    x = 4,216.55

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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.