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Finding the Fourth Proportional to 3,146, 4,722.64 and 2,453.44

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Solution

The fourth proportional to 3,146, 4,722.64 and 2,453.44 is: 3,683.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146 : 4,722.64 = 2,453.44 : x
  2. Step 2: Convert to fraction form
    3,146/4,722.64 = 2,453.44/x
  3. Step 3: Cross multiply
    3,146x = 4,722.64 × 2,453.44
  4. Step 4: Simplify right side
    3,146x = 11,586,713.88
  5. Step 5: Solve for x
    x = 11,586,713.88/3,146
  6. Step 6: Final answer
    x = 3,683.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.