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Finding the Fourth Proportional to 3,105.46, 4,658.23 and 914.23

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Solution

The fourth proportional to 3,105.46, 4,658.23 and 914.23 is: 1,371.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.46 : 4,658.23 = 914.23 : x
  2. Step 2: Convert to fraction form
    3,105.46/4,658.23 = 914.23/x
  3. Step 3: Cross multiply
    3,105.46x = 4,658.23 × 914.23
  4. Step 4: Simplify right side
    3,105.46x = 4,258,695.44
  5. Step 5: Solve for x
    x = 4,258,695.44/3,105.46
  6. Step 6: Final answer
    x = 1,371.36

Related Problems

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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.