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Finding the Fourth Proportional to 21,997.92, 32,994.20 and 6,415.56

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Solution

The fourth proportional to 21,997.92, 32,994.20 and 6,415.56 is: 9,622.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,997.92 : 32,994.20 = 6,415.56 : x
  2. Step 2: Convert to fraction form
    21,997.92/32,994.20 = 6,415.56/x
  3. Step 3: Cross multiply
    21,997.92x = 32,994.20 × 6,415.56
  4. Step 4: Simplify right side
    21,997.92x = 211,676,269.75
  5. Step 5: Solve for x
    x = 211,676,269.75/21,997.92
  6. Step 6: Final answer
    x = 9,622.56

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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.