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Finding the Fourth Proportional to 3,396.78, 5,094.54 and 931.95

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Solution

The fourth proportional to 3,396.78, 5,094.54 and 931.95 is: 1,397.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.78 : 5,094.54 = 931.95 : x
  2. Step 2: Convert to fraction form
    3,396.78/5,094.54 = 931.95/x
  3. Step 3: Cross multiply
    3,396.78x = 5,094.54 × 931.95
  4. Step 4: Simplify right side
    3,396.78x = 4,747,856.55
  5. Step 5: Solve for x
    x = 4,747,856.55/3,396.78
  6. Step 6: Final answer
    x = 1,397.75

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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.