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Finding the Fourth Proportional to 11,469.52, 17,182.32 and 7,765.36

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Solution

The fourth proportional to 11,469.52, 17,182.32 and 7,765.36 is: 11,633.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,469.52 : 17,182.32 = 7,765.36 : x
  2. Step 2: Convert to fraction form
    11,469.52/17,182.32 = 7,765.36/x
  3. Step 3: Cross multiply
    11,469.52x = 17,182.32 × 7,765.36
  4. Step 4: Simplify right side
    11,469.52x = 133,426,900.44
  5. Step 5: Solve for x
    x = 133,426,900.44/11,469.52
  6. Step 6: Final answer
    x = 11,633.17

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