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Finding the Fourth Proportional to 8,576.74, 12,857.71 and 3,315.44

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Solution

The fourth proportional to 8,576.74, 12,857.71 and 3,315.44 is: 4,970.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576.74 : 12,857.71 = 3,315.44 : x
  2. Step 2: Convert to fraction form
    8,576.74/12,857.71 = 3,315.44/x
  3. Step 3: Cross multiply
    8,576.74x = 12,857.71 × 3,315.44
  4. Step 4: Simplify right side
    8,576.74x = 42,628,966.04
  5. Step 5: Solve for x
    x = 42,628,966.04/8,576.74
  6. Step 6: Final answer
    x = 4,970.30

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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.