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Finding the Fourth Proportional to 2,942.77, 4,411.09 and 993.91

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Solution

The fourth proportional to 2,942.77, 4,411.09 and 993.91 is: 1,489.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.77 : 4,411.09 = 993.91 : x
  2. Step 2: Convert to fraction form
    2,942.77/4,411.09 = 993.91/x
  3. Step 3: Cross multiply
    2,942.77x = 4,411.09 × 993.91
  4. Step 4: Simplify right side
    2,942.77x = 4,384,226.46
  5. Step 5: Solve for x
    x = 4,384,226.46/2,942.77
  6. Step 6: Final answer
    x = 1,489.83

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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.