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Finding the Fourth Proportional to 13,894.32, 20,844.48 and 5,129.28

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Solution

The fourth proportional to 13,894.32, 20,844.48 and 5,129.28 is: 7,695.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.32 : 20,844.48 = 5,129.28 : x
  2. Step 2: Convert to fraction form
    13,894.32/20,844.48 = 5,129.28/x
  3. Step 3: Cross multiply
    13,894.32x = 20,844.48 × 5,129.28
  4. Step 4: Simplify right side
    13,894.32x = 106,917,174.37
  5. Step 5: Solve for x
    x = 106,917,174.37/13,894.32
  6. Step 6: Final answer
    x = 7,695.03

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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.