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Finding the Fourth Proportional to 2,074.67, 3,112.23 and 841.90

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Solution

The fourth proportional to 2,074.67, 3,112.23 and 841.90 is: 1,262.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.67 : 3,112.23 = 841.90 : x
  2. Step 2: Convert to fraction form
    2,074.67/3,112.23 = 841.90/x
  3. Step 3: Cross multiply
    2,074.67x = 3,112.23 × 841.90
  4. Step 4: Simplify right side
    2,074.67x = 2,620,166.67
  5. Step 5: Solve for x
    x = 2,620,166.67/2,074.67
  6. Step 6: Final answer
    x = 1,262.93

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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.