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Finding the Fourth Proportional to 28,642.34, 39,530.04 and 16,067

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Solution

The fourth proportional to 28,642.34, 39,530.04 and 16,067 is: 22,174.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,642.34 : 39,530.04 = 16,067 : x
  2. Step 2: Convert to fraction form
    28,642.34/39,530.04 = 16,067/x
  3. Step 3: Cross multiply
    28,642.34x = 39,530.04 × 16,067
  4. Step 4: Simplify right side
    28,642.34x = 635,129,152.68
  5. Step 5: Solve for x
    x = 635,129,152.68/28,642.34
  6. Step 6: Final answer
    x = 22,174.49

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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.