Home / 3,142.36-4,711.92-2,047.24

Finding the Fourth Proportional to 3,142.36, 4,711.92 and 2,047.24

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Solution

The fourth proportional to 3,142.36, 4,711.92 and 2,047.24 is: 3,069.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.36 : 4,711.92 = 2,047.24 : x
  2. Step 2: Convert to fraction form
    3,142.36/4,711.92 = 2,047.24/x
  3. Step 3: Cross multiply
    3,142.36x = 4,711.92 × 2,047.24
  4. Step 4: Simplify right side
    3,142.36x = 9,646,431.10
  5. Step 5: Solve for x
    x = 9,646,431.10/3,142.36
  6. Step 6: Final answer
    x = 3,069.80

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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.