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Finding the Fourth Proportional to 22,515, 33,772.46 and 7,728.20

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Solution

The fourth proportional to 22,515, 33,772.46 and 7,728.20 is: 11,592.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,515 : 33,772.46 = 7,728.20 : x
  2. Step 2: Convert to fraction form
    22,515/33,772.46 = 7,728.20/x
  3. Step 3: Cross multiply
    22,515x = 33,772.46 × 7,728.20
  4. Step 4: Simplify right side
    22,515x = 261,000,325.37
  5. Step 5: Solve for x
    x = 261,000,325.37/22,515
  6. Step 6: Final answer
    x = 11,592.29

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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.