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Finding the Fourth Proportional to 11,328, 15,629.80 and 6,791.38

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Solution

The fourth proportional to 11,328, 15,629.80 and 6,791.38 is: 9,370.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,328 : 15,629.80 = 6,791.38 : x
  2. Step 2: Convert to fraction form
    11,328/15,629.80 = 6,791.38/x
  3. Step 3: Cross multiply
    11,328x = 15,629.80 × 6,791.38
  4. Step 4: Simplify right side
    11,328x = 106,147,911.12
  5. Step 5: Solve for x
    x = 106,147,911.12/11,328
  6. Step 6: Final answer
    x = 9,370.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.