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Finding the Fourth Proportional to 3,382.48, 4,667.02 and 1,965.79

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Solution

The fourth proportional to 3,382.48, 4,667.02 and 1,965.79 is: 2,712.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.48 : 4,667.02 = 1,965.79 : x
  2. Step 2: Convert to fraction form
    3,382.48/4,667.02 = 1,965.79/x
  3. Step 3: Cross multiply
    3,382.48x = 4,667.02 × 1,965.79
  4. Step 4: Simplify right side
    3,382.48x = 9,174,381.25
  5. Step 5: Solve for x
    x = 9,174,381.25/3,382.48
  6. Step 6: Final answer
    x = 2,712.32

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1.5x scale

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.