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Finding the Fourth Proportional to 8,576, 12,866.16 and 2,420

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Solution

The fourth proportional to 8,576, 12,866.16 and 2,420 is: 3,630.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576 : 12,866.16 = 2,420 : x
  2. Step 2: Convert to fraction form
    8,576/12,866.16 = 2,420/x
  3. Step 3: Cross multiply
    8,576x = 12,866.16 × 2,420
  4. Step 4: Simplify right side
    8,576x = 31,136,107.20
  5. Step 5: Solve for x
    x = 31,136,107.20/8,576
  6. Step 6: Final answer
    x = 3,630.61

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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.