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Finding the Fourth Proportional to 12,661.75, 18,944.43 and 7,645.66

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Solution

The fourth proportional to 12,661.75, 18,944.43 and 7,645.66 is: 11,439.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,661.75 : 18,944.43 = 7,645.66 : x
  2. Step 2: Convert to fraction form
    12,661.75/18,944.43 = 7,645.66/x
  3. Step 3: Cross multiply
    12,661.75x = 18,944.43 × 7,645.66
  4. Step 4: Simplify right side
    12,661.75x = 144,842,670.67
  5. Step 5: Solve for x
    x = 144,842,670.67/12,661.75
  6. Step 6: Final answer
    x = 11,439.39

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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.