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Finding the Fourth Proportional to 6,536.90, 9,799.41 and 2,638.64

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Solution

The fourth proportional to 6,536.90, 9,799.41 and 2,638.64 is: 3,955.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.90 : 9,799.41 = 2,638.64 : x
  2. Step 2: Convert to fraction form
    6,536.90/9,799.41 = 2,638.64/x
  3. Step 3: Cross multiply
    6,536.90x = 9,799.41 × 2,638.64
  4. Step 4: Simplify right side
    6,536.90x = 25,857,115.20
  5. Step 5: Solve for x
    x = 25,857,115.20/6,536.90
  6. Step 6: Final answer
    x = 3,955.56

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1.5x scale

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.