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Finding the Fourth Proportional to 3,289.76, 4,930.96 and 1,340.88

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Solution

The fourth proportional to 3,289.76, 4,930.96 and 1,340.88 is: 2,009.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.76 : 4,930.96 = 1,340.88 : x
  2. Step 2: Convert to fraction form
    3,289.76/4,930.96 = 1,340.88/x
  3. Step 3: Cross multiply
    3,289.76x = 4,930.96 × 1,340.88
  4. Step 4: Simplify right side
    3,289.76x = 6,611,825.64
  5. Step 5: Solve for x
    x = 6,611,825.64/3,289.76
  6. Step 6: Final answer
    x = 2,009.82

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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.