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Finding the Fourth Proportional to 10,810.81, 16,216.22 and 8,349.22

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Solution

The fourth proportional to 10,810.81, 16,216.22 and 8,349.22 is: 12,523.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810.81 : 16,216.22 = 8,349.22 : x
  2. Step 2: Convert to fraction form
    10,810.81/16,216.22 = 8,349.22/x
  3. Step 3: Cross multiply
    10,810.81x = 16,216.22 × 8,349.22
  4. Step 4: Simplify right side
    10,810.81x = 135,392,746.60
  5. Step 5: Solve for x
    x = 135,392,746.60/10,810.81
  6. Step 6: Final answer
    x = 12,523.83

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Similar ratio
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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.