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Finding the Fourth Proportional to 2,965.84, 4,087.94 and 2,080.10

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Solution

The fourth proportional to 2,965.84, 4,087.94 and 2,080.10 is: 2,867.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.84 : 4,087.94 = 2,080.10 : x
  2. Step 2: Convert to fraction form
    2,965.84/4,087.94 = 2,080.10/x
  3. Step 3: Cross multiply
    2,965.84x = 4,087.94 × 2,080.10
  4. Step 4: Simplify right side
    2,965.84x = 8,503,323.81
  5. Step 5: Solve for x
    x = 8,503,323.81/2,965.84
  6. Step 6: Final answer
    x = 2,867.09

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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.