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Finding the Fourth Proportional to 2,734.28, 4,101.45 and 786.50

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Solution

The fourth proportional to 2,734.28, 4,101.45 and 786.50 is: 1,179.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.28 : 4,101.45 = 786.50 : x
  2. Step 2: Convert to fraction form
    2,734.28/4,101.45 = 786.50/x
  3. Step 3: Cross multiply
    2,734.28x = 4,101.45 × 786.50
  4. Step 4: Simplify right side
    2,734.28x = 3,225,790.43
  5. Step 5: Solve for x
    x = 3,225,790.43/2,734.28
  6. Step 6: Final answer
    x = 1,179.76

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Why These Related Problems?

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