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Finding the Fourth Proportional to 13,978.94, 20,967.87 and 5,213.84

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Solution

The fourth proportional to 13,978.94, 20,967.87 and 5,213.84 is: 7,820.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.94 : 20,967.87 = 5,213.84 : x
  2. Step 2: Convert to fraction form
    13,978.94/20,967.87 = 5,213.84/x
  3. Step 3: Cross multiply
    13,978.94x = 20,967.87 × 5,213.84
  4. Step 4: Simplify right side
    13,978.94x = 109,323,119.32
  5. Step 5: Solve for x
    x = 109,323,119.32/13,978.94
  6. Step 6: Final answer
    x = 7,820.56

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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.