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Finding the Fourth Proportional to 8,561.39, 12,842.09 and 5,743.81

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Solution

The fourth proportional to 8,561.39, 12,842.09 and 5,743.81 is: 8,615.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.39 : 12,842.09 = 5,743.81 : x
  2. Step 2: Convert to fraction form
    8,561.39/12,842.09 = 5,743.81/x
  3. Step 3: Cross multiply
    8,561.39x = 12,842.09 × 5,743.81
  4. Step 4: Simplify right side
    8,561.39x = 73,762,432.03
  5. Step 5: Solve for x
    x = 73,762,432.03/8,561.39
  6. Step 6: Final answer
    x = 8,615.71

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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.