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Finding the Fourth Proportional to 3,759.68, 5,188.12 and 2,057.84

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Solution

The fourth proportional to 3,759.68, 5,188.12 and 2,057.84 is: 2,839.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.68 : 5,188.12 = 2,057.84 : x
  2. Step 2: Convert to fraction form
    3,759.68/5,188.12 = 2,057.84/x
  3. Step 3: Cross multiply
    3,759.68x = 5,188.12 × 2,057.84
  4. Step 4: Simplify right side
    3,759.68x = 10,676,320.86
  5. Step 5: Solve for x
    x = 10,676,320.86/3,759.68
  6. Step 6: Final answer
    x = 2,839.69

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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.