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Finding the Fourth Proportional to 13,978.56, 20,955.36 and 5,213.88

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Solution

The fourth proportional to 13,978.56, 20,955.36 and 5,213.88 is: 7,816.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.56 : 20,955.36 = 5,213.88 : x
  2. Step 2: Convert to fraction form
    13,978.56/20,955.36 = 5,213.88/x
  3. Step 3: Cross multiply
    13,978.56x = 20,955.36 × 5,213.88
  4. Step 4: Simplify right side
    13,978.56x = 109,258,732.40
  5. Step 5: Solve for x
    x = 109,258,732.40/13,978.56
  6. Step 6: Final answer
    x = 7,816.17

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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.