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Finding the Fourth Proportional to 7,124.42, 10,691.22 and 3,839.81

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Solution

The fourth proportional to 7,124.42, 10,691.22 and 3,839.81 is: 5,762.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.42 : 10,691.22 = 3,839.81 : x
  2. Step 2: Convert to fraction form
    7,124.42/10,691.22 = 3,839.81/x
  3. Step 3: Cross multiply
    7,124.42x = 10,691.22 × 3,839.81
  4. Step 4: Simplify right side
    7,124.42x = 41,052,214.41
  5. Step 5: Solve for x
    x = 41,052,214.41/7,124.42
  6. Step 6: Final answer
    x = 5,762.18

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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.