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Finding the Fourth Proportional to 3,105.73, 4,658.96 and 1,546.21

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Solution

The fourth proportional to 3,105.73, 4,658.96 and 1,546.21 is: 2,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.73 : 4,658.96 = 1,546.21 : x
  2. Step 2: Convert to fraction form
    3,105.73/4,658.96 = 1,546.21/x
  3. Step 3: Cross multiply
    3,105.73x = 4,658.96 × 1,546.21
  4. Step 4: Simplify right side
    3,105.73x = 7,203,730.54
  5. Step 5: Solve for x
    x = 7,203,730.54/3,105.73
  6. Step 6: Final answer
    x = 2,319.50

Related Problems

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Half scale
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Double scale
Find fourth proportional to 3,106.73, 4,660.46 and 1,547.21
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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.