Home / 4,160.90-5,742-2,272.44

Finding the Fourth Proportional to 4,160.90, 5,742 and 2,272.44

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Solution

The fourth proportional to 4,160.90, 5,742 and 2,272.44 is: 3,135.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160.90 : 5,742 = 2,272.44 : x
  2. Step 2: Convert to fraction form
    4,160.90/5,742 = 2,272.44/x
  3. Step 3: Cross multiply
    4,160.90x = 5,742 × 2,272.44
  4. Step 4: Simplify right side
    4,160.90x = 13,048,350.48
  5. Step 5: Solve for x
    x = 13,048,350.48/4,160.90
  6. Step 6: Final answer
    x = 3,135.95

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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.