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Finding the Fourth Proportional to 8,469.57, 12,704.43 and 2,313.57

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Solution

The fourth proportional to 8,469.57, 12,704.43 and 2,313.57 is: 3,470.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.57 : 12,704.43 = 2,313.57 : x
  2. Step 2: Convert to fraction form
    8,469.57/12,704.43 = 2,313.57/x
  3. Step 3: Cross multiply
    8,469.57x = 12,704.43 × 2,313.57
  4. Step 4: Simplify right side
    8,469.57x = 29,392,588.12
  5. Step 5: Solve for x
    x = 29,392,588.12/8,469.57
  6. Step 6: Final answer
    x = 3,470.38

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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.