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Finding the Fourth Proportional to 3,220.77, 4,831.20 and 912.27

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Solution

The fourth proportional to 3,220.77, 4,831.20 and 912.27 is: 1,368.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.77 : 4,831.20 = 912.27 : x
  2. Step 2: Convert to fraction form
    3,220.77/4,831.20 = 912.27/x
  3. Step 3: Cross multiply
    3,220.77x = 4,831.20 × 912.27
  4. Step 4: Simplify right side
    3,220.77x = 4,407,358.82
  5. Step 5: Solve for x
    x = 4,407,358.82/3,220.77
  6. Step 6: Final answer
    x = 1,368.42

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Similar ratio
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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.