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Finding the Fourth Proportional to 5,491.71, 7,578.81 and 3,134.61

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Solution

The fourth proportional to 5,491.71, 7,578.81 and 3,134.61 is: 4,325.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.71 : 7,578.81 = 3,134.61 : x
  2. Step 2: Convert to fraction form
    5,491.71/7,578.81 = 3,134.61/x
  3. Step 3: Cross multiply
    5,491.71x = 7,578.81 × 3,134.61
  4. Step 4: Simplify right side
    5,491.71x = 23,756,613.61
  5. Step 5: Solve for x
    x = 23,756,613.61/5,491.71
  6. Step 6: Final answer
    x = 4,325.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.