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Finding the Fourth Proportional to 10,806.81, 16,210.22 and 8,345.22

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Solution

The fourth proportional to 10,806.81, 16,210.22 and 8,345.22 is: 12,517.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.81 : 16,210.22 = 8,345.22 : x
  2. Step 2: Convert to fraction form
    10,806.81/16,210.22 = 8,345.22/x
  3. Step 3: Cross multiply
    10,806.81x = 16,210.22 × 8,345.22
  4. Step 4: Simplify right side
    10,806.81x = 135,277,810.42
  5. Step 5: Solve for x
    x = 135,277,810.42/10,806.81
  6. Step 6: Final answer
    x = 12,517.83

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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.