Home / 1,778.82-2,449.50-1,740.48

Finding the Fourth Proportional to 1,778.82, 2,449.50 and 1,740.48

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Solution

The fourth proportional to 1,778.82, 2,449.50 and 1,740.48 is: 2,396.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.82 : 2,449.50 = 1,740.48 : x
  2. Step 2: Convert to fraction form
    1,778.82/2,449.50 = 1,740.48/x
  3. Step 3: Cross multiply
    1,778.82x = 2,449.50 × 1,740.48
  4. Step 4: Simplify right side
    1,778.82x = 4,263,305.76
  5. Step 5: Solve for x
    x = 4,263,305.76/1,778.82
  6. Step 6: Final answer
    x = 2,396.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.