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Finding the Fourth Proportional to 3,274.76, 4,913.37 and 1,520.60

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Solution

The fourth proportional to 3,274.76, 4,913.37 and 1,520.60 is: 2,281.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.76 : 4,913.37 = 1,520.60 : x
  2. Step 2: Convert to fraction form
    3,274.76/4,913.37 = 1,520.60/x
  3. Step 3: Cross multiply
    3,274.76x = 4,913.37 × 1,520.60
  4. Step 4: Simplify right side
    3,274.76x = 7,471,245.86
  5. Step 5: Solve for x
    x = 7,471,245.86/3,274.76
  6. Step 6: Final answer
    x = 2,281.47

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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.