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Finding the Fourth Proportional to 8,217.50, 12,326.25 and 2,745.50

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Solution

The fourth proportional to 8,217.50, 12,326.25 and 2,745.50 is: 4,118.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.50 : 12,326.25 = 2,745.50 : x
  2. Step 2: Convert to fraction form
    8,217.50/12,326.25 = 2,745.50/x
  3. Step 3: Cross multiply
    8,217.50x = 12,326.25 × 2,745.50
  4. Step 4: Simplify right side
    8,217.50x = 33,841,719.38
  5. Step 5: Solve for x
    x = 33,841,719.38/8,217.50
  6. Step 6: Final answer
    x = 4,118.25

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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.