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Finding the Fourth Proportional to 6,822.50, 10,233.75 and 2,205.50

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Solution

The fourth proportional to 6,822.50, 10,233.75 and 2,205.50 is: 3,308.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.50 : 10,233.75 = 2,205.50 : x
  2. Step 2: Convert to fraction form
    6,822.50/10,233.75 = 2,205.50/x
  3. Step 3: Cross multiply
    6,822.50x = 10,233.75 × 2,205.50
  4. Step 4: Simplify right side
    6,822.50x = 22,570,535.63
  5. Step 5: Solve for x
    x = 22,570,535.63/6,822.50
  6. Step 6: Final answer
    x = 3,308.25

Related Problems

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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.