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Finding the Fourth Proportional to 2,790.82, 4,178.94 and 1,964.62

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Solution

The fourth proportional to 2,790.82, 4,178.94 and 1,964.62 is: 2,941.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.82 : 4,178.94 = 1,964.62 : x
  2. Step 2: Convert to fraction form
    2,790.82/4,178.94 = 1,964.62/x
  3. Step 3: Cross multiply
    2,790.82x = 4,178.94 × 1,964.62
  4. Step 4: Simplify right side
    2,790.82x = 8,210,029.10
  5. Step 5: Solve for x
    x = 8,210,029.10/2,790.82
  6. Step 6: Final answer
    x = 2,941.80

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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.