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Finding the Fourth Proportional to 3,468.81, 4,786.96 and 1,896.91

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Solution

The fourth proportional to 3,468.81, 4,786.96 and 1,896.91 is: 2,617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.81 : 4,786.96 = 1,896.91 : x
  2. Step 2: Convert to fraction form
    3,468.81/4,786.96 = 1,896.91/x
  3. Step 3: Cross multiply
    3,468.81x = 4,786.96 × 1,896.91
  4. Step 4: Simplify right side
    3,468.81x = 9,080,432.29
  5. Step 5: Solve for x
    x = 9,080,432.29/3,468.81
  6. Step 6: Final answer
    x = 2,617.74

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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.