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Finding the Fourth Proportional to 3,942.46, 5,914 and 1,309.87

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Solution

The fourth proportional to 3,942.46, 5,914 and 1,309.87 is: 1,964.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.46 : 5,914 = 1,309.87 : x
  2. Step 2: Convert to fraction form
    3,942.46/5,914 = 1,309.87/x
  3. Step 3: Cross multiply
    3,942.46x = 5,914 × 1,309.87
  4. Step 4: Simplify right side
    3,942.46x = 7,746,541.61
  5. Step 5: Solve for x
    x = 7,746,541.61/3,942.46
  6. Step 6: Final answer
    x = 1,964.90

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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.