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Finding the Fourth Proportional to 13,538, 20,310.60 and 4,304

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Solution

The fourth proportional to 13,538, 20,310.60 and 4,304 is: 6,457.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538 : 20,310.60 = 4,304 : x
  2. Step 2: Convert to fraction form
    13,538/20,310.60 = 4,304/x
  3. Step 3: Cross multiply
    13,538x = 20,310.60 × 4,304
  4. Step 4: Simplify right side
    13,538x = 87,416,822.40
  5. Step 5: Solve for x
    x = 87,416,822.40/13,538
  6. Step 6: Final answer
    x = 6,457.14

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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.