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Finding the Fourth Proportional to 7,951.44, 11,931 and 3,274.92

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Solution

The fourth proportional to 7,951.44, 11,931 and 3,274.92 is: 4,913.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.44 : 11,931 = 3,274.92 : x
  2. Step 2: Convert to fraction form
    7,951.44/11,931 = 3,274.92/x
  3. Step 3: Cross multiply
    7,951.44x = 11,931 × 3,274.92
  4. Step 4: Simplify right side
    7,951.44x = 39,073,070.52
  5. Step 5: Solve for x
    x = 39,073,070.52/7,951.44
  6. Step 6: Final answer
    x = 4,913.96

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1.5x scale

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.