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Finding the Fourth Proportional to 8,684.72, 13,009.64 and 3,998.20

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Solution

The fourth proportional to 8,684.72, 13,009.64 and 3,998.20 is: 5,989.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684.72 : 13,009.64 = 3,998.20 : x
  2. Step 2: Convert to fraction form
    8,684.72/13,009.64 = 3,998.20/x
  3. Step 3: Cross multiply
    8,684.72x = 13,009.64 × 3,998.20
  4. Step 4: Simplify right side
    8,684.72x = 52,015,142.65
  5. Step 5: Solve for x
    x = 52,015,142.65/8,684.72
  6. Step 6: Final answer
    x = 5,989.27

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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.