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Finding the Fourth Proportional to 2,012.81, 3,019.90 and 626.46

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Solution

The fourth proportional to 2,012.81, 3,019.90 and 626.46 is: 939.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.81 : 3,019.90 = 626.46 : x
  2. Step 2: Convert to fraction form
    2,012.81/3,019.90 = 626.46/x
  3. Step 3: Cross multiply
    2,012.81x = 3,019.90 × 626.46
  4. Step 4: Simplify right side
    2,012.81x = 1,891,846.55
  5. Step 5: Solve for x
    x = 1,891,846.55/2,012.81
  6. Step 6: Final answer
    x = 939.90

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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.