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Finding the Fourth Proportional to 5,781.72, 7,982.28 and 3,687

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Solution

The fourth proportional to 5,781.72, 7,982.28 and 3,687 is: 5,090.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.72 : 7,982.28 = 3,687 : x
  2. Step 2: Convert to fraction form
    5,781.72/7,982.28 = 3,687/x
  3. Step 3: Cross multiply
    5,781.72x = 7,982.28 × 3,687
  4. Step 4: Simplify right side
    5,781.72x = 29,430,666.36
  5. Step 5: Solve for x
    x = 29,430,666.36/5,781.72
  6. Step 6: Final answer
    x = 5,090.30

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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.