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Finding the Fourth Proportional to 31,078, 46,616.28 and 7,704.64

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Solution

The fourth proportional to 31,078, 46,616.28 and 7,704.64 is: 11,556.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,078 : 46,616.28 = 7,704.64 : x
  2. Step 2: Convert to fraction form
    31,078/46,616.28 = 7,704.64/x
  3. Step 3: Cross multiply
    31,078x = 46,616.28 × 7,704.64
  4. Step 4: Simplify right side
    31,078x = 359,161,655.54
  5. Step 5: Solve for x
    x = 359,161,655.54/31,078
  6. Step 6: Final answer
    x = 11,556.78

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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.