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Finding the Fourth Proportional to 8,287.70, 12,431.58 and 3,093.50

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Solution

The fourth proportional to 8,287.70, 12,431.58 and 3,093.50 is: 4,640.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.70 : 12,431.58 = 3,093.50 : x
  2. Step 2: Convert to fraction form
    8,287.70/12,431.58 = 3,093.50/x
  3. Step 3: Cross multiply
    8,287.70x = 12,431.58 × 3,093.50
  4. Step 4: Simplify right side
    8,287.70x = 38,457,092.73
  5. Step 5: Solve for x
    x = 38,457,092.73/8,287.70
  6. Step 6: Final answer
    x = 4,640.26

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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.