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Finding the Fourth Proportional to 7,953.78, 11,928.24 and 3,791.60

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Solution

The fourth proportional to 7,953.78, 11,928.24 and 3,791.60 is: 5,686.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,953.78 : 11,928.24 = 3,791.60 : x
  2. Step 2: Convert to fraction form
    7,953.78/11,928.24 = 3,791.60/x
  3. Step 3: Cross multiply
    7,953.78x = 11,928.24 × 3,791.60
  4. Step 4: Simplify right side
    7,953.78x = 45,227,055.14
  5. Step 5: Solve for x
    x = 45,227,055.14/7,953.78
  6. Step 6: Final answer
    x = 5,686.23

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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.