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Finding the Fourth Proportional to 3,699.30, 5,098 and 2,649.54

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Solution

The fourth proportional to 3,699.30, 5,098 and 2,649.54 is: 3,651.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.30 : 5,098 = 2,649.54 : x
  2. Step 2: Convert to fraction form
    3,699.30/5,098 = 2,649.54/x
  3. Step 3: Cross multiply
    3,699.30x = 5,098 × 2,649.54
  4. Step 4: Simplify right side
    3,699.30x = 13,507,354.92
  5. Step 5: Solve for x
    x = 13,507,354.92/3,699.30
  6. Step 6: Final answer
    x = 3,651.33

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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.