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Finding the Fourth Proportional to 2,074.63, 3,111.94 and 842.03

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Solution

The fourth proportional to 2,074.63, 3,111.94 and 842.03 is: 1,263.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.63 : 3,111.94 = 842.03 : x
  2. Step 2: Convert to fraction form
    2,074.63/3,111.94 = 842.03/x
  3. Step 3: Cross multiply
    2,074.63x = 3,111.94 × 842.03
  4. Step 4: Simplify right side
    2,074.63x = 2,620,339.26
  5. Step 5: Solve for x
    x = 2,620,339.26/2,074.63
  6. Step 6: Final answer
    x = 1,263.04

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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.