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Finding the Fourth Proportional to 13,772, 20,640.72 and 7,110.56

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Solution

The fourth proportional to 13,772, 20,640.72 and 7,110.56 is: 10,656.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772 : 20,640.72 = 7,110.56 : x
  2. Step 2: Convert to fraction form
    13,772/20,640.72 = 7,110.56/x
  3. Step 3: Cross multiply
    13,772x = 20,640.72 × 7,110.56
  4. Step 4: Simplify right side
    13,772x = 146,767,078.00
  5. Step 5: Solve for x
    x = 146,767,078.00/13,772
  6. Step 6: Final answer
    x = 10,656.92

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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.