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Finding the Fourth Proportional to 9,180, 13,768.56 and 7,629.96

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Solution

The fourth proportional to 9,180, 13,768.56 and 7,629.96 is: 11,443.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180 : 13,768.56 = 7,629.96 : x
  2. Step 2: Convert to fraction form
    9,180/13,768.56 = 7,629.96/x
  3. Step 3: Cross multiply
    9,180x = 13,768.56 × 7,629.96
  4. Step 4: Simplify right side
    9,180x = 105,053,562.06
  5. Step 5: Solve for x
    x = 105,053,562.06/9,180
  6. Step 6: Final answer
    x = 11,443.74

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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.