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Finding the Fourth Proportional to 10,831.17, 14,930.64 and 8,469.21

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Solution

The fourth proportional to 10,831.17, 14,930.64 and 8,469.21 is: 11,674.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,831.17 : 14,930.64 = 8,469.21 : x
  2. Step 2: Convert to fraction form
    10,831.17/14,930.64 = 8,469.21/x
  3. Step 3: Cross multiply
    10,831.17x = 14,930.64 × 8,469.21
  4. Step 4: Simplify right side
    10,831.17x = 126,450,725.59
  5. Step 5: Solve for x
    x = 126,450,725.59/10,831.17
  6. Step 6: Final answer
    x = 11,674.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.