Home / 2,071.74-3,101.44-1,376

Finding the Fourth Proportional to 2,071.74, 3,101.44 and 1,376

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Solution

The fourth proportional to 2,071.74, 3,101.44 and 1,376 is: 2,059.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.74 : 3,101.44 = 1,376 : x
  2. Step 2: Convert to fraction form
    2,071.74/3,101.44 = 1,376/x
  3. Step 3: Cross multiply
    2,071.74x = 3,101.44 × 1,376
  4. Step 4: Simplify right side
    2,071.74x = 4,267,581.44
  5. Step 5: Solve for x
    x = 4,267,581.44/2,071.74
  6. Step 6: Final answer
    x = 2,059.90

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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.