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Finding the Fourth Proportional to 21,205.45, 31,823.97 and 8,083.45

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Solution

The fourth proportional to 21,205.45, 31,823.97 and 8,083.45 is: 12,131.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205.45 : 31,823.97 = 8,083.45 : x
  2. Step 2: Convert to fraction form
    21,205.45/31,823.97 = 8,083.45/x
  3. Step 3: Cross multiply
    21,205.45x = 31,823.97 × 8,083.45
  4. Step 4: Simplify right side
    21,205.45x = 257,247,470.30
  5. Step 5: Solve for x
    x = 257,247,470.30/21,205.45
  6. Step 6: Final answer
    x = 12,131.20

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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.