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Finding the Fourth Proportional to 31,650.56, 47,449.56 and 11,918.24

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Solution

The fourth proportional to 31,650.56, 47,449.56 and 11,918.24 is: 17,867.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,650.56 : 47,449.56 = 11,918.24 : x
  2. Step 2: Convert to fraction form
    31,650.56/47,449.56 = 11,918.24/x
  3. Step 3: Cross multiply
    31,650.56x = 47,449.56 × 11,918.24
  4. Step 4: Simplify right side
    31,650.56x = 565,515,243.97
  5. Step 5: Solve for x
    x = 565,515,243.97/31,650.56
  6. Step 6: Final answer
    x = 17,867.46

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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.