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Finding the Fourth Proportional to 21,997.68, 32,983.56 and 8,838.96

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Solution

The fourth proportional to 21,997.68, 32,983.56 and 8,838.96 is: 13,253.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,997.68 : 32,983.56 = 8,838.96 : x
  2. Step 2: Convert to fraction form
    21,997.68/32,983.56 = 8,838.96/x
  3. Step 3: Cross multiply
    21,997.68x = 32,983.56 × 8,838.96
  4. Step 4: Simplify right side
    21,997.68x = 291,540,367.50
  5. Step 5: Solve for x
    x = 291,540,367.50/21,997.68
  6. Step 6: Final answer
    x = 13,253.23

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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.