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Finding the Fourth Proportional to 3,491.96, 5,238.86 and 2,029.86

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Solution

The fourth proportional to 3,491.96, 5,238.86 and 2,029.86 is: 3,045.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.96 : 5,238.86 = 2,029.86 : x
  2. Step 2: Convert to fraction form
    3,491.96/5,238.86 = 2,029.86/x
  3. Step 3: Cross multiply
    3,491.96x = 5,238.86 × 2,029.86
  4. Step 4: Simplify right side
    3,491.96x = 10,634,153.63
  5. Step 5: Solve for x
    x = 10,634,153.63/3,491.96
  6. Step 6: Final answer
    x = 3,045.32

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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.