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Finding the Fourth Proportional to 2,361.84, 3,255.96 and 1,661.04

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Solution

The fourth proportional to 2,361.84, 3,255.96 and 1,661.04 is: 2,289.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.84 : 3,255.96 = 1,661.04 : x
  2. Step 2: Convert to fraction form
    2,361.84/3,255.96 = 1,661.04/x
  3. Step 3: Cross multiply
    2,361.84x = 3,255.96 × 1,661.04
  4. Step 4: Simplify right side
    2,361.84x = 5,408,279.80
  5. Step 5: Solve for x
    x = 5,408,279.80/2,361.84
  6. Step 6: Final answer
    x = 2,289.86

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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.