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Finding the Fourth Proportional to 13,978.84, 20,955.30 and 7,399.48

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Solution

The fourth proportional to 13,978.84, 20,955.30 and 7,399.48 is: 11,092.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.84 : 20,955.30 = 7,399.48 : x
  2. Step 2: Convert to fraction form
    13,978.84/20,955.30 = 7,399.48/x
  3. Step 3: Cross multiply
    13,978.84x = 20,955.30 × 7,399.48
  4. Step 4: Simplify right side
    13,978.84x = 155,058,323.24
  5. Step 5: Solve for x
    x = 155,058,323.24/13,978.84
  6. Step 6: Final answer
    x = 11,092.36

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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.