Home / 2,882-3,977.64-2,182.16

Finding the Fourth Proportional to 2,882, 3,977.64 and 2,182.16

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Solution

The fourth proportional to 2,882, 3,977.64 and 2,182.16 is: 3,011.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882 : 3,977.64 = 2,182.16 : x
  2. Step 2: Convert to fraction form
    2,882/3,977.64 = 2,182.16/x
  3. Step 3: Cross multiply
    2,882x = 3,977.64 × 2,182.16
  4. Step 4: Simplify right side
    2,882x = 8,679,846.90
  5. Step 5: Solve for x
    x = 8,679,846.90/2,882
  6. Step 6: Final answer
    x = 3,011.74

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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.