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Finding the Fourth Proportional to 10,871.20, 16,322.10 and 5,609.80

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Solution

The fourth proportional to 10,871.20, 16,322.10 and 5,609.80 is: 8,422.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.20 : 16,322.10 = 5,609.80 : x
  2. Step 2: Convert to fraction form
    10,871.20/16,322.10 = 5,609.80/x
  3. Step 3: Cross multiply
    10,871.20x = 16,322.10 × 5,609.80
  4. Step 4: Simplify right side
    10,871.20x = 91,563,716.58
  5. Step 5: Solve for x
    x = 91,563,716.58/10,871.20
  6. Step 6: Final answer
    x = 8,422.60

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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.