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Finding the Fourth Proportional to 21,034.54, 31,562.88 and 8,563.78

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Solution

The fourth proportional to 21,034.54, 31,562.88 and 8,563.78 is: 12,850.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,034.54 : 31,562.88 = 8,563.78 : x
  2. Step 2: Convert to fraction form
    21,034.54/31,562.88 = 8,563.78/x
  3. Step 3: Cross multiply
    21,034.54x = 31,562.88 × 8,563.78
  4. Step 4: Simplify right side
    21,034.54x = 270,297,560.49
  5. Step 5: Solve for x
    x = 270,297,560.49/21,034.54
  6. Step 6: Final answer
    x = 12,850.18

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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.