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Finding the Fourth Proportional to 22,010, 33,015 and 6,427.76

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Solution

The fourth proportional to 22,010, 33,015 and 6,427.76 is: 9,641.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,010 : 33,015 = 6,427.76 : x
  2. Step 2: Convert to fraction form
    22,010/33,015 = 6,427.76/x
  3. Step 3: Cross multiply
    22,010x = 33,015 × 6,427.76
  4. Step 4: Simplify right side
    22,010x = 212,212,496.40
  5. Step 5: Solve for x
    x = 212,212,496.40/22,010
  6. Step 6: Final answer
    x = 9,641.64

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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.