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Finding the Fourth Proportional to 21,990.96, 32,991.12 and 6,407.28

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Solution

The fourth proportional to 21,990.96, 32,991.12 and 6,407.28 is: 9,612.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,990.96 : 32,991.12 = 6,407.28 : x
  2. Step 2: Convert to fraction form
    21,990.96/32,991.12 = 6,407.28/x
  3. Step 3: Cross multiply
    21,990.96x = 32,991.12 × 6,407.28
  4. Step 4: Simplify right side
    21,990.96x = 211,383,343.35
  5. Step 5: Solve for x
    x = 211,383,343.35/21,990.96
  6. Step 6: Final answer
    x = 9,612.28

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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.