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Finding the Fourth Proportional to 14,801.70, 20,431.94 and 8,831.19

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Solution

The fourth proportional to 14,801.70, 20,431.94 and 8,831.19 is: 12,190.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,801.70 : 20,431.94 = 8,831.19 : x
  2. Step 2: Convert to fraction form
    14,801.70/20,431.94 = 8,831.19/x
  3. Step 3: Cross multiply
    14,801.70x = 20,431.94 × 8,831.19
  4. Step 4: Simplify right side
    14,801.70x = 180,438,300.05
  5. Step 5: Solve for x
    x = 180,438,300.05/14,801.70
  6. Step 6: Final answer
    x = 12,190.38

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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.