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Finding the Fourth Proportional to 6,425.60, 9,636.00 and 2,728.11

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Solution

The fourth proportional to 6,425.60, 9,636.00 and 2,728.11 is: 4,091.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.60 : 9,636.00 = 2,728.11 : x
  2. Step 2: Convert to fraction form
    6,425.60/9,636.00 = 2,728.11/x
  3. Step 3: Cross multiply
    6,425.60x = 9,636.00 × 2,728.11
  4. Step 4: Simplify right side
    6,425.60x = 26,288,093.86
  5. Step 5: Solve for x
    x = 26,288,093.86/6,425.60
  6. Step 6: Final answer
    x = 4,091.15

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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.