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Finding the Fourth Proportional to 12,873.25, 17,752.93 and 8,400.43

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Solution

The fourth proportional to 12,873.25, 17,752.93 and 8,400.43 is: 11,584.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,873.25 : 17,752.93 = 8,400.43 : x
  2. Step 2: Convert to fraction form
    12,873.25/17,752.93 = 8,400.43/x
  3. Step 3: Cross multiply
    12,873.25x = 17,752.93 × 8,400.43
  4. Step 4: Simplify right side
    12,873.25x = 149,132,245.76
  5. Step 5: Solve for x
    x = 149,132,245.76/12,873.25
  6. Step 6: Final answer
    x = 11,584.66

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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.