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Finding the Fourth Proportional to 21,335.20, 31,993.20 and 8,183.20

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Solution

The fourth proportional to 21,335.20, 31,993.20 and 8,183.20 is: 12,271.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,335.20 : 31,993.20 = 8,183.20 : x
  2. Step 2: Convert to fraction form
    21,335.20/31,993.20 = 8,183.20/x
  3. Step 3: Cross multiply
    21,335.20x = 31,993.20 × 8,183.20
  4. Step 4: Simplify right side
    21,335.20x = 261,806,754.24
  5. Step 5: Solve for x
    x = 261,806,754.24/21,335.20
  6. Step 6: Final answer
    x = 12,271.12

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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.