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Finding the Fourth Proportional to 3,942.99, 5,914.80 and 1,310.40

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Solution

The fourth proportional to 3,942.99, 5,914.80 and 1,310.40 is: 1,965.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.99 : 5,914.80 = 1,310.40 : x
  2. Step 2: Convert to fraction form
    3,942.99/5,914.80 = 1,310.40/x
  3. Step 3: Cross multiply
    3,942.99x = 5,914.80 × 1,310.40
  4. Step 4: Simplify right side
    3,942.99x = 7,750,753.92
  5. Step 5: Solve for x
    x = 7,750,753.92/3,942.99
  6. Step 6: Final answer
    x = 1,965.70

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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.