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Finding the Fourth Proportional to 1,964.63, 2,709.80 and 1,667.85

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Solution

The fourth proportional to 1,964.63, 2,709.80 and 1,667.85 is: 2,300.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.63 : 2,709.80 = 1,667.85 : x
  2. Step 2: Convert to fraction form
    1,964.63/2,709.80 = 1,667.85/x
  3. Step 3: Cross multiply
    1,964.63x = 2,709.80 × 1,667.85
  4. Step 4: Simplify right side
    1,964.63x = 4,519,527.68
  5. Step 5: Solve for x
    x = 4,519,527.68/1,964.63
  6. Step 6: Final answer
    x = 2,300.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.