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Finding the Fourth Proportional to 32,150, 44,367 and 20,972

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Solution

The fourth proportional to 32,150, 44,367 and 20,972 is: 28,941.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,150 : 44,367 = 20,972 : x
  2. Step 2: Convert to fraction form
    32,150/44,367 = 20,972/x
  3. Step 3: Cross multiply
    32,150x = 44,367 × 20,972
  4. Step 4: Simplify right side
    32,150x = 930,464,724
  5. Step 5: Solve for x
    x = 930,464,724/32,150
  6. Step 6: Final answer
    x = 28,941.36

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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.