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Finding the Fourth Proportional to 28,322, 42,480.25 and 8,600.73

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Solution

The fourth proportional to 28,322, 42,480.25 and 8,600.73 is: 12,900.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,322 : 42,480.25 = 8,600.73 : x
  2. Step 2: Convert to fraction form
    28,322/42,480.25 = 8,600.73/x
  3. Step 3: Cross multiply
    28,322x = 42,480.25 × 8,600.73
  4. Step 4: Simplify right side
    28,322x = 365,361,160.58
  5. Step 5: Solve for x
    x = 365,361,160.58/28,322
  6. Step 6: Final answer
    x = 12,900.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.