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Finding the Fourth Proportional to 21,471.44, 29,631.60 and 13,409.88

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Solution

The fourth proportional to 21,471.44, 29,631.60 and 13,409.88 is: 18,506.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,471.44 : 29,631.60 = 13,409.88 : x
  2. Step 2: Convert to fraction form
    21,471.44/29,631.60 = 13,409.88/x
  3. Step 3: Cross multiply
    21,471.44x = 29,631.60 × 13,409.88
  4. Step 4: Simplify right side
    21,471.44x = 397,356,200.21
  5. Step 5: Solve for x
    x = 397,356,200.21/21,471.44
  6. Step 6: Final answer
    x = 18,506.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.