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Finding the Fourth Proportional to 5,111.90, 7,651.65 and 3,653.90

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Solution

The fourth proportional to 5,111.90, 7,651.65 and 3,653.90 is: 5,469.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.90 : 7,651.65 = 3,653.90 : x
  2. Step 2: Convert to fraction form
    5,111.90/7,651.65 = 3,653.90/x
  3. Step 3: Cross multiply
    5,111.90x = 7,651.65 × 3,653.90
  4. Step 4: Simplify right side
    5,111.90x = 27,958,363.94
  5. Step 5: Solve for x
    x = 27,958,363.94/5,111.90
  6. Step 6: Final answer
    x = 5,469.27

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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.