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Finding the Fourth Proportional to 2,865.96, 3,954.90 and 1,687.80

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Solution

The fourth proportional to 2,865.96, 3,954.90 and 1,687.80 is: 2,329.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.96 : 3,954.90 = 1,687.80 : x
  2. Step 2: Convert to fraction form
    2,865.96/3,954.90 = 1,687.80/x
  3. Step 3: Cross multiply
    2,865.96x = 3,954.90 × 1,687.80
  4. Step 4: Simplify right side
    2,865.96x = 6,675,080.22
  5. Step 5: Solve for x
    x = 6,675,080.22/2,865.96
  6. Step 6: Final answer
    x = 2,329.09

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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.