Home / 2,071.62-3,122.64-2,042.46

Finding the Fourth Proportional to 2,071.62, 3,122.64 and 2,042.46

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Solution

The fourth proportional to 2,071.62, 3,122.64 and 2,042.46 is: 3,078.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.62 : 3,122.64 = 2,042.46 : x
  2. Step 2: Convert to fraction form
    2,071.62/3,122.64 = 2,042.46/x
  3. Step 3: Cross multiply
    2,071.62x = 3,122.64 × 2,042.46
  4. Step 4: Simplify right side
    2,071.62x = 6,377,867.29
  5. Step 5: Solve for x
    x = 6,377,867.29/2,071.62
  6. Step 6: Final answer
    x = 3,078.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.