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Finding the Fourth Proportional to 35,642, 49,198.92 and 20,738

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Solution

The fourth proportional to 35,642, 49,198.92 and 20,738 is: 28,625.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,642 : 49,198.92 = 20,738 : x
  2. Step 2: Convert to fraction form
    35,642/49,198.92 = 20,738/x
  3. Step 3: Cross multiply
    35,642x = 49,198.92 × 20,738
  4. Step 4: Simplify right side
    35,642x = 1,020,287,202.96
  5. Step 5: Solve for x
    x = 1,020,287,202.96/35,642
  6. Step 6: Final answer
    x = 28,625.98

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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.