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Finding the Fourth Proportional to 5,109.75, 7,051.46 and 3,249.99

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Solution

The fourth proportional to 5,109.75, 7,051.46 and 3,249.99 is: 4,484.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.75 : 7,051.46 = 3,249.99 : x
  2. Step 2: Convert to fraction form
    5,109.75/7,051.46 = 3,249.99/x
  3. Step 3: Cross multiply
    5,109.75x = 7,051.46 × 3,249.99
  4. Step 4: Simplify right side
    5,109.75x = 22,917,158.24
  5. Step 5: Solve for x
    x = 22,917,158.24/5,109.75
  6. Step 6: Final answer
    x = 4,484.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.