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Finding the Fourth Proportional to 7,831.64, 11,794.34 and 7,131.80

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Solution

The fourth proportional to 7,831.64, 11,794.34 and 7,131.80 is: 10,740.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.64 : 11,794.34 = 7,131.80 : x
  2. Step 2: Convert to fraction form
    7,831.64/11,794.34 = 7,131.80/x
  3. Step 3: Cross multiply
    7,831.64x = 11,794.34 × 7,131.80
  4. Step 4: Simplify right side
    7,831.64x = 84,114,874.01
  5. Step 5: Solve for x
    x = 84,114,874.01/7,831.64
  6. Step 6: Final answer
    x = 10,740.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.