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Finding the Fourth Proportional to 13,850.70, 20,735.10 and 8,905.68

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Solution

The fourth proportional to 13,850.70, 20,735.10 and 8,905.68 is: 13,332.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,850.70 : 20,735.10 = 8,905.68 : x
  2. Step 2: Convert to fraction form
    13,850.70/20,735.10 = 8,905.68/x
  3. Step 3: Cross multiply
    13,850.70x = 20,735.10 × 8,905.68
  4. Step 4: Simplify right side
    13,850.70x = 184,660,165.37
  5. Step 5: Solve for x
    x = 184,660,165.37/13,850.70
  6. Step 6: Final answer
    x = 13,332.19

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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.