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Finding the Fourth Proportional to 20,414, 28,173.48 and 12,962

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Solution

The fourth proportional to 20,414, 28,173.48 and 12,962 is: 17,888.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,414 : 28,173.48 = 12,962 : x
  2. Step 2: Convert to fraction form
    20,414/28,173.48 = 12,962/x
  3. Step 3: Cross multiply
    20,414x = 28,173.48 × 12,962
  4. Step 4: Simplify right side
    20,414x = 365,184,647.76
  5. Step 5: Solve for x
    x = 365,184,647.76/20,414
  6. Step 6: Final answer
    x = 17,888.93

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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.