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Finding the Fourth Proportional to 13,967.92, 20,971.32 and 7,047.28

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Solution

The fourth proportional to 13,967.92, 20,971.32 and 7,047.28 is: 10,580.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,967.92 : 20,971.32 = 7,047.28 : x
  2. Step 2: Convert to fraction form
    13,967.92/20,971.32 = 7,047.28/x
  3. Step 3: Cross multiply
    13,967.92x = 20,971.32 × 7,047.28
  4. Step 4: Simplify right side
    13,967.92x = 147,790,764.01
  5. Step 5: Solve for x
    x = 147,790,764.01/13,967.92
  6. Step 6: Final answer
    x = 10,580.73

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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.