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Finding the Fourth Proportional to 7,805.82, 11,706.09 and 2,539.53

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Solution

The fourth proportional to 7,805.82, 11,706.09 and 2,539.53 is: 3,808.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.82 : 11,706.09 = 2,539.53 : x
  2. Step 2: Convert to fraction form
    7,805.82/11,706.09 = 2,539.53/x
  3. Step 3: Cross multiply
    7,805.82x = 11,706.09 × 2,539.53
  4. Step 4: Simplify right side
    7,805.82x = 29,727,957.21
  5. Step 5: Solve for x
    x = 29,727,957.21/7,805.82
  6. Step 6: Final answer
    x = 3,808.43

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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.