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Finding the Fourth Proportional to 5,539.82, 7,643 and 3,654.94

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Solution

The fourth proportional to 5,539.82, 7,643 and 3,654.94 is: 5,042.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,539.82 : 7,643 = 3,654.94 : x
  2. Step 2: Convert to fraction form
    5,539.82/7,643 = 3,654.94/x
  3. Step 3: Cross multiply
    5,539.82x = 7,643 × 3,654.94
  4. Step 4: Simplify right side
    5,539.82x = 27,934,706.42
  5. Step 5: Solve for x
    x = 27,934,706.42/5,539.82
  6. Step 6: Final answer
    x = 5,042.53

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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.