Home / 2,074.24-3,111.60-842.08

Finding the Fourth Proportional to 2,074.24, 3,111.60 and 842.08

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Solution

The fourth proportional to 2,074.24, 3,111.60 and 842.08 is: 1,263.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.24 : 3,111.60 = 842.08 : x
  2. Step 2: Convert to fraction form
    2,074.24/3,111.60 = 842.08/x
  3. Step 3: Cross multiply
    2,074.24x = 3,111.60 × 842.08
  4. Step 4: Simplify right side
    2,074.24x = 2,620,216.13
  5. Step 5: Solve for x
    x = 2,620,216.13/2,074.24
  6. Step 6: Final answer
    x = 1,263.22

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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.