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Finding the Fourth Proportional to 8,734.32, 13,101.32 and 2,160.50

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Solution

The fourth proportional to 8,734.32, 13,101.32 and 2,160.50 is: 3,240.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,734.32 : 13,101.32 = 2,160.50 : x
  2. Step 2: Convert to fraction form
    8,734.32/13,101.32 = 2,160.50/x
  3. Step 3: Cross multiply
    8,734.32x = 13,101.32 × 2,160.50
  4. Step 4: Simplify right side
    8,734.32x = 28,305,436.91
  5. Step 5: Solve for x
    x = 28,305,436.91/8,734.32
  6. Step 6: Final answer
    x = 3,240.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.