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Finding the Fourth Proportional to 2,188.50, 3,280.68 and 726.60

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Solution

The fourth proportional to 2,188.50, 3,280.68 and 726.60 is: 1,089.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.50 : 3,280.68 = 726.60 : x
  2. Step 2: Convert to fraction form
    2,188.50/3,280.68 = 726.60/x
  3. Step 3: Cross multiply
    2,188.50x = 3,280.68 × 726.60
  4. Step 4: Simplify right side
    2,188.50x = 2,383,742.09
  5. Step 5: Solve for x
    x = 2,383,742.09/2,188.50
  6. Step 6: Final answer
    x = 1,089.21

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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.