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Finding the Fourth Proportional to 3,200.70, 4,415.40 and 2,757.84

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Solution

The fourth proportional to 3,200.70, 4,415.40 and 2,757.84 is: 3,804.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.70 : 4,415.40 = 2,757.84 : x
  2. Step 2: Convert to fraction form
    3,200.70/4,415.40 = 2,757.84/x
  3. Step 3: Cross multiply
    3,200.70x = 4,415.40 × 2,757.84
  4. Step 4: Simplify right side
    3,200.70x = 12,176,966.74
  5. Step 5: Solve for x
    x = 12,176,966.74/3,200.70
  6. Step 6: Final answer
    x = 3,804.47

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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.