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Finding the Fourth Proportional to 35,977.64, 49,649.42 and 20,879.30

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Solution

The fourth proportional to 35,977.64, 49,649.42 and 20,879.30 is: 28,813.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,977.64 : 49,649.42 = 20,879.30 : x
  2. Step 2: Convert to fraction form
    35,977.64/49,649.42 = 20,879.30/x
  3. Step 3: Cross multiply
    35,977.64x = 49,649.42 × 20,879.30
  4. Step 4: Simplify right side
    35,977.64x = 1,036,645,311.33
  5. Step 5: Solve for x
    x = 1,036,645,311.33/35,977.64
  6. Step 6: Final answer
    x = 28,813.60

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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.