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Finding the Fourth Proportional to 13,604, 20,405.04 and 6,676

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Solution

The fourth proportional to 13,604, 20,405.04 and 6,676 is: 10,013.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,604 : 20,405.04 = 6,676 : x
  2. Step 2: Convert to fraction form
    13,604/20,405.04 = 6,676/x
  3. Step 3: Cross multiply
    13,604x = 20,405.04 × 6,676
  4. Step 4: Simplify right side
    13,604x = 136,224,047.04
  5. Step 5: Solve for x
    x = 136,224,047.04/13,604
  6. Step 6: Final answer
    x = 10,013.53

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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.