Home / 2,071.92-3,105.40-1,583.44

Finding the Fourth Proportional to 2,071.92, 3,105.40 and 1,583.44

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Solution

The fourth proportional to 2,071.92, 3,105.40 and 1,583.44 is: 2,373.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.92 : 3,105.40 = 1,583.44 : x
  2. Step 2: Convert to fraction form
    2,071.92/3,105.40 = 1,583.44/x
  3. Step 3: Cross multiply
    2,071.92x = 3,105.40 × 1,583.44
  4. Step 4: Simplify right side
    2,071.92x = 4,917,214.58
  5. Step 5: Solve for x
    x = 4,917,214.58/2,071.92
  6. Step 6: Final answer
    x = 2,373.26

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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.