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Finding the Fourth Proportional to 21,221.71, 31,825.90 and 7,179.12

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Solution

The fourth proportional to 21,221.71, 31,825.90 and 7,179.12 is: 10,766.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,221.71 : 31,825.90 = 7,179.12 : x
  2. Step 2: Convert to fraction form
    21,221.71/31,825.90 = 7,179.12/x
  3. Step 3: Cross multiply
    21,221.71x = 31,825.90 × 7,179.12
  4. Step 4: Simplify right side
    21,221.71x = 228,481,955.21
  5. Step 5: Solve for x
    x = 228,481,955.21/21,221.71
  6. Step 6: Final answer
    x = 10,766.43

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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.