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Finding the Fourth Proportional to 11,764.80, 17,648.64 and 5,192.64

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Solution

The fourth proportional to 11,764.80, 17,648.64 and 5,192.64 is: 7,789.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764.80 : 17,648.64 = 5,192.64 : x
  2. Step 2: Convert to fraction form
    11,764.80/17,648.64 = 5,192.64/x
  3. Step 3: Cross multiply
    11,764.80x = 17,648.64 × 5,192.64
  4. Step 4: Simplify right side
    11,764.80x = 91,643,034.01
  5. Step 5: Solve for x
    x = 91,643,034.01/11,764.80
  6. Step 6: Final answer
    x = 7,789.60

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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.