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Finding the Fourth Proportional to 12,752.56, 19,128.12 and 3,986.44

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Solution

The fourth proportional to 12,752.56, 19,128.12 and 3,986.44 is: 5,979.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,752.56 : 19,128.12 = 3,986.44 : x
  2. Step 2: Convert to fraction form
    12,752.56/19,128.12 = 3,986.44/x
  3. Step 3: Cross multiply
    12,752.56x = 19,128.12 × 3,986.44
  4. Step 4: Simplify right side
    12,752.56x = 76,253,102.69
  5. Step 5: Solve for x
    x = 76,253,102.69/12,752.56
  6. Step 6: Final answer
    x = 5,979.43

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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.