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Finding the Fourth Proportional to 3,942.92, 5,915.10 and 1,346.12

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Solution

The fourth proportional to 3,942.92, 5,915.10 and 1,346.12 is: 2,019.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.92 : 5,915.10 = 1,346.12 : x
  2. Step 2: Convert to fraction form
    3,942.92/5,915.10 = 1,346.12/x
  3. Step 3: Cross multiply
    3,942.92x = 5,915.10 × 1,346.12
  4. Step 4: Simplify right side
    3,942.92x = 7,962,434.41
  5. Step 5: Solve for x
    x = 7,962,434.41/3,942.92
  6. Step 6: Final answer
    x = 2,019.43

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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.