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Finding the Fourth Proportional to 8,147.96, 12,223.46 and 3,705.94

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Solution

The fourth proportional to 8,147.96, 12,223.46 and 3,705.94 is: 5,559.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.96 : 12,223.46 = 3,705.94 : x
  2. Step 2: Convert to fraction form
    8,147.96/12,223.46 = 3,705.94/x
  3. Step 3: Cross multiply
    8,147.96x = 12,223.46 × 3,705.94
  4. Step 4: Simplify right side
    8,147.96x = 45,299,409.35
  5. Step 5: Solve for x
    x = 45,299,409.35/8,147.96
  6. Step 6: Final answer
    x = 5,559.60

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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.