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Finding the Fourth Proportional to 13,905.80, 20,831.82 and 7,731.08

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Solution

The fourth proportional to 13,905.80, 20,831.82 and 7,731.08 is: 11,581.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,905.80 : 20,831.82 = 7,731.08 : x
  2. Step 2: Convert to fraction form
    13,905.80/20,831.82 = 7,731.08/x
  3. Step 3: Cross multiply
    13,905.80x = 20,831.82 × 7,731.08
  4. Step 4: Simplify right side
    13,905.80x = 161,052,466.97
  5. Step 5: Solve for x
    x = 161,052,466.97/13,905.80
  6. Step 6: Final answer
    x = 11,581.68

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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.