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Finding the Fourth Proportional to 8,984.64, 13,456.90 and 6,889.21

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Solution

The fourth proportional to 8,984.64, 13,456.90 and 6,889.21 is: 10,318.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,984.64 : 13,456.90 = 6,889.21 : x
  2. Step 2: Convert to fraction form
    8,984.64/13,456.90 = 6,889.21/x
  3. Step 3: Cross multiply
    8,984.64x = 13,456.90 × 6,889.21
  4. Step 4: Simplify right side
    8,984.64x = 92,707,410.05
  5. Step 5: Solve for x
    x = 92,707,410.05/8,984.64
  6. Step 6: Final answer
    x = 10,318.43

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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.