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Finding the Fourth Proportional to 3,768.54, 5,649.42 and 1,686.84

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Solution

The fourth proportional to 3,768.54, 5,649.42 and 1,686.84 is: 2,528.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.54 : 5,649.42 = 1,686.84 : x
  2. Step 2: Convert to fraction form
    3,768.54/5,649.42 = 1,686.84/x
  3. Step 3: Cross multiply
    3,768.54x = 5,649.42 × 1,686.84
  4. Step 4: Simplify right side
    3,768.54x = 9,529,667.63
  5. Step 5: Solve for x
    x = 9,529,667.63/3,768.54
  6. Step 6: Final answer
    x = 2,528.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.