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Finding the Fourth Proportional to 12,534.75, 18,802.13 and 3,769.67

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Solution

The fourth proportional to 12,534.75, 18,802.13 and 3,769.67 is: 5,654.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.75 : 18,802.13 = 3,769.67 : x
  2. Step 2: Convert to fraction form
    12,534.75/18,802.13 = 3,769.67/x
  3. Step 3: Cross multiply
    12,534.75x = 18,802.13 × 3,769.67
  4. Step 4: Simplify right side
    12,534.75x = 70,877,853.55
  5. Step 5: Solve for x
    x = 70,877,853.55/12,534.75
  6. Step 6: Final answer
    x = 5,654.51

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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.