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Finding the Fourth Proportional to 12,805.25, 17,669.81 and 7,770.69

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Solution

The fourth proportional to 12,805.25, 17,669.81 and 7,770.69 is: 10,722.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805.25 : 17,669.81 = 7,770.69 : x
  2. Step 2: Convert to fraction form
    12,805.25/17,669.81 = 7,770.69/x
  3. Step 3: Cross multiply
    12,805.25x = 17,669.81 × 7,770.69
  4. Step 4: Simplify right side
    12,805.25x = 137,306,635.30
  5. Step 5: Solve for x
    x = 137,306,635.30/12,805.25
  6. Step 6: Final answer
    x = 10,722.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.