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Finding the Fourth Proportional to 8,728.42, 13,114.50 and 8,203.54

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Solution

The fourth proportional to 8,728.42, 13,114.50 and 8,203.54 is: 12,325.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,728.42 : 13,114.50 = 8,203.54 : x
  2. Step 2: Convert to fraction form
    8,728.42/13,114.50 = 8,203.54/x
  3. Step 3: Cross multiply
    8,728.42x = 13,114.50 × 8,203.54
  4. Step 4: Simplify right side
    8,728.42x = 107,585,325.33
  5. Step 5: Solve for x
    x = 107,585,325.33/8,728.42
  6. Step 6: Final answer
    x = 12,325.86

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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.