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Finding the Fourth Proportional to 31,752.81, 47,629.22 and 21,889.44

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Solution

The fourth proportional to 31,752.81, 47,629.22 and 21,889.44 is: 32,834.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,752.81 : 47,629.22 = 21,889.44 : x
  2. Step 2: Convert to fraction form
    31,752.81/47,629.22 = 21,889.44/x
  3. Step 3: Cross multiply
    31,752.81x = 47,629.22 × 21,889.44
  4. Step 4: Simplify right side
    31,752.81x = 1,042,576,843.99
  5. Step 5: Solve for x
    x = 1,042,576,843.99/31,752.81
  6. Step 6: Final answer
    x = 32,834.16

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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.