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Finding the Fourth Proportional to 2,352.76, 3,206.32 and 2,344.12

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Solution

The fourth proportional to 2,352.76, 3,206.32 and 2,344.12 is: 3,194.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.76 : 3,206.32 = 2,344.12 : x
  2. Step 2: Convert to fraction form
    2,352.76/3,206.32 = 2,344.12/x
  3. Step 3: Cross multiply
    2,352.76x = 3,206.32 × 2,344.12
  4. Step 4: Simplify right side
    2,352.76x = 7,515,998.84
  5. Step 5: Solve for x
    x = 7,515,998.84/2,352.76
  6. Step 6: Final answer
    x = 3,194.55

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.