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Finding the Fourth Proportional to 2,544.45, 3,817.08 and 812.67

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Solution

The fourth proportional to 2,544.45, 3,817.08 and 812.67 is: 1,219.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.45 : 3,817.08 = 812.67 : x
  2. Step 2: Convert to fraction form
    2,544.45/3,817.08 = 812.67/x
  3. Step 3: Cross multiply
    2,544.45x = 3,817.08 × 812.67
  4. Step 4: Simplify right side
    2,544.45x = 3,102,026.40
  5. Step 5: Solve for x
    x = 3,102,026.40/2,544.45
  6. Step 6: Final answer
    x = 1,219.13

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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.