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Finding the Fourth Proportional to 8,322.75, 12,485.34 and 3,129.84

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Solution

The fourth proportional to 8,322.75, 12,485.34 and 3,129.84 is: 4,695.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.75 : 12,485.34 = 3,129.84 : x
  2. Step 2: Convert to fraction form
    8,322.75/12,485.34 = 3,129.84/x
  3. Step 3: Cross multiply
    8,322.75x = 12,485.34 × 3,129.84
  4. Step 4: Simplify right side
    8,322.75x = 39,077,116.55
  5. Step 5: Solve for x
    x = 39,077,116.55/8,322.75
  6. Step 6: Final answer
    x = 4,695.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.