Home / 3,223-4,831.26-1,663.66

Finding the Fourth Proportional to 3,223, 4,831.26 and 1,663.66

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Solution

The fourth proportional to 3,223, 4,831.26 and 1,663.66 is: 2,493.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223 : 4,831.26 = 1,663.66 : x
  2. Step 2: Convert to fraction form
    3,223/4,831.26 = 1,663.66/x
  3. Step 3: Cross multiply
    3,223x = 4,831.26 × 1,663.66
  4. Step 4: Simplify right side
    3,223x = 8,037,574.01
  5. Step 5: Solve for x
    x = 8,037,574.01/3,223
  6. Step 6: Final answer
    x = 2,493.82

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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.