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Finding the Fourth Proportional to 6,620, 9,135.84 and 3,636.11

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Solution

The fourth proportional to 6,620, 9,135.84 and 3,636.11 is: 5,017.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,620 : 9,135.84 = 3,636.11 : x
  2. Step 2: Convert to fraction form
    6,620/9,135.84 = 3,636.11/x
  3. Step 3: Cross multiply
    6,620x = 9,135.84 × 3,636.11
  4. Step 4: Simplify right side
    6,620x = 33,218,919.18
  5. Step 5: Solve for x
    x = 33,218,919.18/6,620
  6. Step 6: Final answer
    x = 5,017.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.