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Finding the Fourth Proportional to 20,620.25, 28,456 and 11,188.82

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Solution

The fourth proportional to 20,620.25, 28,456 and 11,188.82 is: 15,440.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,620.25 : 28,456 = 11,188.82 : x
  2. Step 2: Convert to fraction form
    20,620.25/28,456 = 11,188.82/x
  3. Step 3: Cross multiply
    20,620.25x = 28,456 × 11,188.82
  4. Step 4: Simplify right side
    20,620.25x = 318,389,061.92
  5. Step 5: Solve for x
    x = 318,389,061.92/20,620.25
  6. Step 6: Final answer
    x = 15,440.60

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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.