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Finding the Fourth Proportional to 20,647.64, 30,971.46 and 8,327

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Solution

The fourth proportional to 20,647.64, 30,971.46 and 8,327 is: 12,490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,647.64 : 30,971.46 = 8,327 : x
  2. Step 2: Convert to fraction form
    20,647.64/30,971.46 = 8,327/x
  3. Step 3: Cross multiply
    20,647.64x = 30,971.46 × 8,327
  4. Step 4: Simplify right side
    20,647.64x = 257,899,347.42
  5. Step 5: Solve for x
    x = 257,899,347.42/20,647.64
  6. Step 6: Final answer
    x = 12,490.50

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Similar ratio
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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.