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Finding the Fourth Proportional to 3,807.36, 5,711.07 and 3,220.63

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Solution

The fourth proportional to 3,807.36, 5,711.07 and 3,220.63 is: 4,830.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.36 : 5,711.07 = 3,220.63 : x
  2. Step 2: Convert to fraction form
    3,807.36/5,711.07 = 3,220.63/x
  3. Step 3: Cross multiply
    3,807.36x = 5,711.07 × 3,220.63
  4. Step 4: Simplify right side
    3,807.36x = 18,393,243.37
  5. Step 5: Solve for x
    x = 18,393,243.37/3,807.36
  6. Step 6: Final answer
    x = 4,830.97

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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.