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Finding the Fourth Proportional to 8,488.56, 12,734.10 and 2,645.64

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Solution

The fourth proportional to 8,488.56, 12,734.10 and 2,645.64 is: 3,968.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,488.56 : 12,734.10 = 2,645.64 : x
  2. Step 2: Convert to fraction form
    8,488.56/12,734.10 = 2,645.64/x
  3. Step 3: Cross multiply
    8,488.56x = 12,734.10 × 2,645.64
  4. Step 4: Simplify right side
    8,488.56x = 33,689,844.32
  5. Step 5: Solve for x
    x = 33,689,844.32/8,488.56
  6. Step 6: Final answer
    x = 3,968.85

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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.