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Finding the Fourth Proportional to 20,318.64, 30,469.78 and 7,831.68

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Solution

The fourth proportional to 20,318.64, 30,469.78 and 7,831.68 is: 11,744.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,318.64 : 30,469.78 = 7,831.68 : x
  2. Step 2: Convert to fraction form
    20,318.64/30,469.78 = 7,831.68/x
  3. Step 3: Cross multiply
    20,318.64x = 30,469.78 × 7,831.68
  4. Step 4: Simplify right side
    20,318.64x = 238,629,566.63
  5. Step 5: Solve for x
    x = 238,629,566.63/20,318.64
  6. Step 6: Final answer
    x = 11,744.37

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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.