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Finding the Fourth Proportional to 13,546, 20,322.30 and 4,312

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Solution

The fourth proportional to 13,546, 20,322.30 and 4,312 is: 6,469.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,546 : 20,322.30 = 4,312 : x
  2. Step 2: Convert to fraction form
    13,546/20,322.30 = 4,312/x
  3. Step 3: Cross multiply
    13,546x = 20,322.30 × 4,312
  4. Step 4: Simplify right side
    13,546x = 87,629,757.60
  5. Step 5: Solve for x
    x = 87,629,757.60/13,546
  6. Step 6: Final answer
    x = 6,469.05

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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.