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Finding the Fourth Proportional to 20,456, 28,230.56 and 11,624

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Solution

The fourth proportional to 20,456, 28,230.56 and 11,624 is: 16,041.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,456 : 28,230.56 = 11,624 : x
  2. Step 2: Convert to fraction form
    20,456/28,230.56 = 11,624/x
  3. Step 3: Cross multiply
    20,456x = 28,230.56 × 11,624
  4. Step 4: Simplify right side
    20,456x = 328,152,029.44
  5. Step 5: Solve for x
    x = 328,152,029.44/20,456
  6. Step 6: Final answer
    x = 16,041.85

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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.