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Finding the Fourth Proportional to 21,174.44, 31,728.24 and 7,829.12

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Solution

The fourth proportional to 21,174.44, 31,728.24 and 7,829.12 is: 11,731.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,174.44 : 31,728.24 = 7,829.12 : x
  2. Step 2: Convert to fraction form
    21,174.44/31,728.24 = 7,829.12/x
  3. Step 3: Cross multiply
    21,174.44x = 31,728.24 × 7,829.12
  4. Step 4: Simplify right side
    21,174.44x = 248,404,198.35
  5. Step 5: Solve for x
    x = 248,404,198.35/21,174.44
  6. Step 6: Final answer
    x = 11,731.32

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1.5x scale

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.