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Finding the Fourth Proportional to 2,012.81, 3,020.25 and 959.81

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Solution

The fourth proportional to 2,012.81, 3,020.25 and 959.81 is: 1,440.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.81 : 3,020.25 = 959.81 : x
  2. Step 2: Convert to fraction form
    2,012.81/3,020.25 = 959.81/x
  3. Step 3: Cross multiply
    2,012.81x = 3,020.25 × 959.81
  4. Step 4: Simplify right side
    2,012.81x = 2,898,877.30
  5. Step 5: Solve for x
    x = 2,898,877.30/2,012.81
  6. Step 6: Final answer
    x = 1,440.21

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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.