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Finding the Fourth Proportional to 2,012.95, 3,020.19 and 780.44

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Solution

The fourth proportional to 2,012.95, 3,020.19 and 780.44 is: 1,170.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.95 : 3,020.19 = 780.44 : x
  2. Step 2: Convert to fraction form
    2,012.95/3,020.19 = 780.44/x
  3. Step 3: Cross multiply
    2,012.95x = 3,020.19 × 780.44
  4. Step 4: Simplify right side
    2,012.95x = 2,357,059.06
  5. Step 5: Solve for x
    x = 2,357,059.06/2,012.95
  6. Step 6: Final answer
    x = 1,170.95

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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.