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Finding the Fourth Proportional to 3,274.78, 4,912.45 and 934.74

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Solution

The fourth proportional to 3,274.78, 4,912.45 and 934.74 is: 1,402.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.78 : 4,912.45 = 934.74 : x
  2. Step 2: Convert to fraction form
    3,274.78/4,912.45 = 934.74/x
  3. Step 3: Cross multiply
    3,274.78x = 4,912.45 × 934.74
  4. Step 4: Simplify right side
    3,274.78x = 4,591,838.95
  5. Step 5: Solve for x
    x = 4,591,838.95/3,274.78
  6. Step 6: Final answer
    x = 1,402.18

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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.