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Finding the Fourth Proportional to 22,406, 33,612.64 and 6,820

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Solution

The fourth proportional to 22,406, 33,612.64 and 6,820 is: 10,231.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,406 : 33,612.64 = 6,820 : x
  2. Step 2: Convert to fraction form
    22,406/33,612.64 = 6,820/x
  3. Step 3: Cross multiply
    22,406x = 33,612.64 × 6,820
  4. Step 4: Simplify right side
    22,406x = 229,238,204.80
  5. Step 5: Solve for x
    x = 229,238,204.80/22,406
  6. Step 6: Final answer
    x = 10,231.11

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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.