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Finding the Fourth Proportional to 8,576.81, 12,871.36 and 3,649.91

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Solution

The fourth proportional to 8,576.81, 12,871.36 and 3,649.91 is: 5,477.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576.81 : 12,871.36 = 3,649.91 : x
  2. Step 2: Convert to fraction form
    8,576.81/12,871.36 = 3,649.91/x
  3. Step 3: Cross multiply
    8,576.81x = 12,871.36 × 3,649.91
  4. Step 4: Simplify right side
    8,576.81x = 46,979,305.58
  5. Step 5: Solve for x
    x = 46,979,305.58/8,576.81
  6. Step 6: Final answer
    x = 5,477.48

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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.