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Finding the Fourth Proportional to 8,511, 12,772.32 and 2,964.34

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Solution

The fourth proportional to 8,511, 12,772.32 and 2,964.34 is: 4,448.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511 : 12,772.32 = 2,964.34 : x
  2. Step 2: Convert to fraction form
    8,511/12,772.32 = 2,964.34/x
  3. Step 3: Cross multiply
    8,511x = 12,772.32 × 2,964.34
  4. Step 4: Simplify right side
    8,511x = 37,861,499.07
  5. Step 5: Solve for x
    x = 37,861,499.07/8,511
  6. Step 6: Final answer
    x = 4,448.54

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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.