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Finding the Fourth Proportional to 4,831.13, 7,229.07 and 4,128.86

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Solution

The fourth proportional to 4,831.13, 7,229.07 and 4,128.86 is: 6,178.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,831.13 : 7,229.07 = 4,128.86 : x
  2. Step 2: Convert to fraction form
    4,831.13/7,229.07 = 4,128.86/x
  3. Step 3: Cross multiply
    4,831.13x = 7,229.07 × 4,128.86
  4. Step 4: Simplify right side
    4,831.13x = 29,847,781.81
  5. Step 5: Solve for x
    x = 29,847,781.81/4,831.13
  6. Step 6: Final answer
    x = 6,178.23

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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.