Home / 2,705.78-3,736.08-2,184.14

Finding the Fourth Proportional to 2,705.78, 3,736.08 and 2,184.14

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Solution

The fourth proportional to 2,705.78, 3,736.08 and 2,184.14 is: 3,015.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.78 : 3,736.08 = 2,184.14 : x
  2. Step 2: Convert to fraction form
    2,705.78/3,736.08 = 2,184.14/x
  3. Step 3: Cross multiply
    2,705.78x = 3,736.08 × 2,184.14
  4. Step 4: Simplify right side
    2,705.78x = 8,160,121.77
  5. Step 5: Solve for x
    x = 8,160,121.77/2,705.78
  6. Step 6: Final answer
    x = 3,015.81

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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.