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Finding the Fourth Proportional to 35,978.91, 49,651.26 and 20,665.26

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Solution

The fourth proportional to 35,978.91, 49,651.26 and 20,665.26 is: 28,518.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,978.91 : 49,651.26 = 20,665.26 : x
  2. Step 2: Convert to fraction form
    35,978.91/49,651.26 = 20,665.26/x
  3. Step 3: Cross multiply
    35,978.91x = 49,651.26 × 20,665.26
  4. Step 4: Simplify right side
    35,978.91x = 1,026,056,197.23
  5. Step 5: Solve for x
    x = 1,026,056,197.23/35,978.91
  6. Step 6: Final answer
    x = 28,518.27

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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.