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Finding the Fourth Proportional to 8,488.28, 12,734.10 and 2,644.64

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Solution

The fourth proportional to 8,488.28, 12,734.10 and 2,644.64 is: 3,967.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,488.28 : 12,734.10 = 2,644.64 : x
  2. Step 2: Convert to fraction form
    8,488.28/12,734.10 = 2,644.64/x
  3. Step 3: Cross multiply
    8,488.28x = 12,734.10 × 2,644.64
  4. Step 4: Simplify right side
    8,488.28x = 33,677,110.22
  5. Step 5: Solve for x
    x = 33,677,110.22/8,488.28
  6. Step 6: Final answer
    x = 3,967.48

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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.