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Finding the Fourth Proportional to 3,759.84, 5,641.68 and 2,742.24

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Solution

The fourth proportional to 3,759.84, 5,641.68 and 2,742.24 is: 4,114.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.84 : 5,641.68 = 2,742.24 : x
  2. Step 2: Convert to fraction form
    3,759.84/5,641.68 = 2,742.24/x
  3. Step 3: Cross multiply
    3,759.84x = 5,641.68 × 2,742.24
  4. Step 4: Simplify right side
    3,759.84x = 15,470,840.56
  5. Step 5: Solve for x
    x = 15,470,840.56/3,759.84
  6. Step 6: Final answer
    x = 4,114.76

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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.