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Finding the Fourth Proportional to 3,200.84, 4,415.82 and 2,151.08

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Solution

The fourth proportional to 3,200.84, 4,415.82 and 2,151.08 is: 2,967.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.84 : 4,415.82 = 2,151.08 : x
  2. Step 2: Convert to fraction form
    3,200.84/4,415.82 = 2,151.08/x
  3. Step 3: Cross multiply
    3,200.84x = 4,415.82 × 2,151.08
  4. Step 4: Simplify right side
    3,200.84x = 9,498,782.09
  5. Step 5: Solve for x
    x = 9,498,782.09/3,200.84
  6. Step 6: Final answer
    x = 2,967.59

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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.