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Finding the Fourth Proportional to 3,152.94, 4,351.57 and 2,405.49

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Solution

The fourth proportional to 3,152.94, 4,351.57 and 2,405.49 is: 3,319.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.94 : 4,351.57 = 2,405.49 : x
  2. Step 2: Convert to fraction form
    3,152.94/4,351.57 = 2,405.49/x
  3. Step 3: Cross multiply
    3,152.94x = 4,351.57 × 2,405.49
  4. Step 4: Simplify right side
    3,152.94x = 10,467,658.12
  5. Step 5: Solve for x
    x = 10,467,658.12/3,152.94
  6. Step 6: Final answer
    x = 3,319.97

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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.