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Finding the Fourth Proportional to 8,411.50, 12,617.26 and 2,255.50

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Solution

The fourth proportional to 8,411.50, 12,617.26 and 2,255.50 is: 3,383.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.50 : 12,617.26 = 2,255.50 : x
  2. Step 2: Convert to fraction form
    8,411.50/12,617.26 = 2,255.50/x
  3. Step 3: Cross multiply
    8,411.50x = 12,617.26 × 2,255.50
  4. Step 4: Simplify right side
    8,411.50x = 28,458,229.93
  5. Step 5: Solve for x
    x = 28,458,229.93/8,411.50
  6. Step 6: Final answer
    x = 3,383.25

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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.