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Finding the Fourth Proportional to 30,622, 42,261.60 and 19,444

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Solution

The fourth proportional to 30,622, 42,261.60 and 19,444 is: 26,834.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,622 : 42,261.60 = 19,444 : x
  2. Step 2: Convert to fraction form
    30,622/42,261.60 = 19,444/x
  3. Step 3: Cross multiply
    30,622x = 42,261.60 × 19,444
  4. Step 4: Simplify right side
    30,622x = 821,734,550.40
  5. Step 5: Solve for x
    x = 821,734,550.40/30,622
  6. Step 6: Final answer
    x = 26,834.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.