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Finding the Fourth Proportional to 3,105, 4,658.78 and 1,257.44

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Solution

The fourth proportional to 3,105, 4,658.78 and 1,257.44 is: 1,886.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105 : 4,658.78 = 1,257.44 : x
  2. Step 2: Convert to fraction form
    3,105/4,658.78 = 1,257.44/x
  3. Step 3: Cross multiply
    3,105x = 4,658.78 × 1,257.44
  4. Step 4: Simplify right side
    3,105x = 5,858,116.17
  5. Step 5: Solve for x
    x = 5,858,116.17/3,105
  6. Step 6: Final answer
    x = 1,886.67

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Double scale
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1.5x scale

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.