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Finding the Fourth Proportional to 7,745, 11,618.94 and 3,641

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Solution

The fourth proportional to 7,745, 11,618.94 and 3,641 is: 5,462.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745 : 11,618.94 = 3,641 : x
  2. Step 2: Convert to fraction form
    7,745/11,618.94 = 3,641/x
  3. Step 3: Cross multiply
    7,745x = 11,618.94 × 3,641
  4. Step 4: Simplify right side
    7,745x = 42,304,560.54
  5. Step 5: Solve for x
    x = 42,304,560.54/7,745
  6. Step 6: Final answer
    x = 5,462.18

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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.