Home / 4,106.82-6,157.77-2,257.47

Finding the Fourth Proportional to 4,106.82, 6,157.77 and 2,257.47

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Solution

The fourth proportional to 4,106.82, 6,157.77 and 2,257.47 is: 3,384.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106.82 : 6,157.77 = 2,257.47 : x
  2. Step 2: Convert to fraction form
    4,106.82/6,157.77 = 2,257.47/x
  3. Step 3: Cross multiply
    4,106.82x = 6,157.77 × 2,257.47
  4. Step 4: Simplify right side
    4,106.82x = 13,900,981.04
  5. Step 5: Solve for x
    x = 13,900,981.04/4,106.82
  6. Step 6: Final answer
    x = 3,384.85

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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.