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Finding the Fourth Proportional to 35,644, 49,201.68 and 20,740

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Solution

The fourth proportional to 35,644, 49,201.68 and 20,740 is: 28,628.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,644 : 49,201.68 = 20,740 : x
  2. Step 2: Convert to fraction form
    35,644/49,201.68 = 20,740/x
  3. Step 3: Cross multiply
    35,644x = 49,201.68 × 20,740
  4. Step 4: Simplify right side
    35,644x = 1,020,442,843.20
  5. Step 5: Solve for x
    x = 1,020,442,843.20/35,644
  6. Step 6: Final answer
    x = 28,628.74

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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.