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Finding the Fourth Proportional to 3,920.09, 5,405.51 and 2,965.16

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Solution

The fourth proportional to 3,920.09, 5,405.51 and 2,965.16 is: 4,088.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.09 : 5,405.51 = 2,965.16 : x
  2. Step 2: Convert to fraction form
    3,920.09/5,405.51 = 2,965.16/x
  3. Step 3: Cross multiply
    3,920.09x = 5,405.51 × 2,965.16
  4. Step 4: Simplify right side
    3,920.09x = 16,028,160.18
  5. Step 5: Solve for x
    x = 16,028,160.18/3,920.09
  6. Step 6: Final answer
    x = 4,088.73

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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.