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Finding the Fourth Proportional to 7,930.80, 11,894.67 and 5,831.28

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Solution

The fourth proportional to 7,930.80, 11,894.67 and 5,831.28 is: 8,745.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.80 : 11,894.67 = 5,831.28 : x
  2. Step 2: Convert to fraction form
    7,930.80/11,894.67 = 5,831.28/x
  3. Step 3: Cross multiply
    7,930.80x = 11,894.67 × 5,831.28
  4. Step 4: Simplify right side
    7,930.80x = 69,361,151.28
  5. Step 5: Solve for x
    x = 69,361,151.28/7,930.80
  6. Step 6: Final answer
    x = 8,745.80

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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.