Home / 3,138.24-4,707.40-829.76

Finding the Fourth Proportional to 3,138.24, 4,707.40 and 829.76

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Solution

The fourth proportional to 3,138.24, 4,707.40 and 829.76 is: 1,244.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.24 : 4,707.40 = 829.76 : x
  2. Step 2: Convert to fraction form
    3,138.24/4,707.40 = 829.76/x
  3. Step 3: Cross multiply
    3,138.24x = 4,707.40 × 829.76
  4. Step 4: Simplify right side
    3,138.24x = 3,906,012.22
  5. Step 5: Solve for x
    x = 3,906,012.22/3,138.24
  6. Step 6: Final answer
    x = 1,244.65

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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.