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Finding the Fourth Proportional to 35,978.11, 49,636.73 and 20,862.43

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Solution

The fourth proportional to 35,978.11, 49,636.73 and 20,862.43 is: 28,782.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,978.11 : 49,636.73 = 20,862.43 : x
  2. Step 2: Convert to fraction form
    35,978.11/49,636.73 = 20,862.43/x
  3. Step 3: Cross multiply
    35,978.11x = 49,636.73 × 20,862.43
  4. Step 4: Simplify right side
    35,978.11x = 1,035,542,733.12
  5. Step 5: Solve for x
    x = 1,035,542,733.12/35,978.11
  6. Step 6: Final answer
    x = 28,782.58

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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.