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Finding the Fourth Proportional to 21,997.44, 32,992.96 and 6,410.88

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Solution

The fourth proportional to 21,997.44, 32,992.96 and 6,410.88 is: 9,615.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,997.44 : 32,992.96 = 6,410.88 : x
  2. Step 2: Convert to fraction form
    21,997.44/32,992.96 = 6,410.88/x
  3. Step 3: Cross multiply
    21,997.44x = 32,992.96 × 6,410.88
  4. Step 4: Simplify right side
    21,997.44x = 211,513,907.40
  5. Step 5: Solve for x
    x = 211,513,907.40/21,997.44
  6. Step 6: Final answer
    x = 9,615.39

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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.