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Finding the Fourth Proportional to 2,628.66, 3,942.99 and 984.83

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Solution

The fourth proportional to 2,628.66, 3,942.99 and 984.83 is: 1,477.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.66 : 3,942.99 = 984.83 : x
  2. Step 2: Convert to fraction form
    2,628.66/3,942.99 = 984.83/x
  3. Step 3: Cross multiply
    2,628.66x = 3,942.99 × 984.83
  4. Step 4: Simplify right side
    2,628.66x = 3,883,184.70
  5. Step 5: Solve for x
    x = 3,883,184.70/2,628.66
  6. Step 6: Final answer
    x = 1,477.25

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Half scale
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Double scale
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Similar ratio
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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.