Home / 3,122.24-4,683.64-813.76

Finding the Fourth Proportional to 3,122.24, 4,683.64 and 813.76

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Solution

The fourth proportional to 3,122.24, 4,683.64 and 813.76 is: 1,220.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.24 : 4,683.64 = 813.76 : x
  2. Step 2: Convert to fraction form
    3,122.24/4,683.64 = 813.76/x
  3. Step 3: Cross multiply
    3,122.24x = 4,683.64 × 813.76
  4. Step 4: Simplify right side
    3,122.24x = 3,811,358.89
  5. Step 5: Solve for x
    x = 3,811,358.89/3,122.24
  6. Step 6: Final answer
    x = 1,220.71

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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.