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Finding the Fourth Proportional to 3,667.65, 5,509.09 and 2,965.65

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Solution

The fourth proportional to 3,667.65, 5,509.09 and 2,965.65 is: 4,454.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.65 : 5,509.09 = 2,965.65 : x
  2. Step 2: Convert to fraction form
    3,667.65/5,509.09 = 2,965.65/x
  3. Step 3: Cross multiply
    3,667.65x = 5,509.09 × 2,965.65
  4. Step 4: Simplify right side
    3,667.65x = 16,338,032.76
  5. Step 5: Solve for x
    x = 16,338,032.76/3,667.65
  6. Step 6: Final answer
    x = 4,454.63

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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.