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Finding the Fourth Proportional to 5,687, 7,848.24 and 3,203

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Solution

The fourth proportional to 5,687, 7,848.24 and 3,203 is: 4,420.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687 : 7,848.24 = 3,203 : x
  2. Step 2: Convert to fraction form
    5,687/7,848.24 = 3,203/x
  3. Step 3: Cross multiply
    5,687x = 7,848.24 × 3,203
  4. Step 4: Simplify right side
    5,687x = 25,137,912.72
  5. Step 5: Solve for x
    x = 25,137,912.72/5,687
  6. Step 6: Final answer
    x = 4,420.24

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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.