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Finding the Fourth Proportional to 7,811.94, 11,713.71 and 3,129.60

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Solution

The fourth proportional to 7,811.94, 11,713.71 and 3,129.60 is: 4,692.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.94 : 11,713.71 = 3,129.60 : x
  2. Step 2: Convert to fraction form
    7,811.94/11,713.71 = 3,129.60/x
  3. Step 3: Cross multiply
    7,811.94x = 11,713.71 × 3,129.60
  4. Step 4: Simplify right side
    7,811.94x = 36,659,226.82
  5. Step 5: Solve for x
    x = 36,659,226.82/7,811.94
  6. Step 6: Final answer
    x = 4,692.72

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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.