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Finding the Fourth Proportional to 8,397.75, 12,588.12 and 3,470.12

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Solution

The fourth proportional to 8,397.75, 12,588.12 and 3,470.12 is: 5,201.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,397.75 : 12,588.12 = 3,470.12 : x
  2. Step 2: Convert to fraction form
    8,397.75/12,588.12 = 3,470.12/x
  3. Step 3: Cross multiply
    8,397.75x = 12,588.12 × 3,470.12
  4. Step 4: Simplify right side
    8,397.75x = 43,682,224.03
  5. Step 5: Solve for x
    x = 43,682,224.03/8,397.75
  6. Step 6: Final answer
    x = 5,201.66

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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.