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Finding the Fourth Proportional to 3,402.72, 4,692 and 2,340.96

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Solution

The fourth proportional to 3,402.72, 4,692 and 2,340.96 is: 3,227.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.72 : 4,692 = 2,340.96 : x
  2. Step 2: Convert to fraction form
    3,402.72/4,692 = 2,340.96/x
  3. Step 3: Cross multiply
    3,402.72x = 4,692 × 2,340.96
  4. Step 4: Simplify right side
    3,402.72x = 10,983,784.32
  5. Step 5: Solve for x
    x = 10,983,784.32/3,402.72
  6. Step 6: Final answer
    x = 3,227.94

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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.