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Finding the Fourth Proportional to 2,472.81, 3,709.22 and 992.71

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Solution

The fourth proportional to 2,472.81, 3,709.22 and 992.71 is: 1,489.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.81 : 3,709.22 = 992.71 : x
  2. Step 2: Convert to fraction form
    2,472.81/3,709.22 = 992.71/x
  3. Step 3: Cross multiply
    2,472.81x = 3,709.22 × 992.71
  4. Step 4: Simplify right side
    2,472.81x = 3,682,165.55
  5. Step 5: Solve for x
    x = 3,682,165.55/2,472.81
  6. Step 6: Final answer
    x = 1,489.06

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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.