Home / 3,174-4,382.04-2,071.92

Finding the Fourth Proportional to 3,174, 4,382.04 and 2,071.92

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Solution

The fourth proportional to 3,174, 4,382.04 and 2,071.92 is: 2,860.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174 : 4,382.04 = 2,071.92 : x
  2. Step 2: Convert to fraction form
    3,174/4,382.04 = 2,071.92/x
  3. Step 3: Cross multiply
    3,174x = 4,382.04 × 2,071.92
  4. Step 4: Simplify right side
    3,174x = 9,079,236.32
  5. Step 5: Solve for x
    x = 9,079,236.32/3,174
  6. Step 6: Final answer
    x = 2,860.50

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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.