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Finding the Fourth Proportional to 3,102.63, 4,651.20 and 1,153.44

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Solution

The fourth proportional to 3,102.63, 4,651.20 and 1,153.44 is: 1,729.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.63 : 4,651.20 = 1,153.44 : x
  2. Step 2: Convert to fraction form
    3,102.63/4,651.20 = 1,153.44/x
  3. Step 3: Cross multiply
    3,102.63x = 4,651.20 × 1,153.44
  4. Step 4: Simplify right side
    3,102.63x = 5,364,880.13
  5. Step 5: Solve for x
    x = 5,364,880.13/3,102.63
  6. Step 6: Final answer
    x = 1,729.14

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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.