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Finding the Fourth Proportional to 13,653.76, 20,445 and 9,481.36

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Solution

The fourth proportional to 13,653.76, 20,445 and 9,481.36 is: 14,197.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653.76 : 20,445 = 9,481.36 : x
  2. Step 2: Convert to fraction form
    13,653.76/20,445 = 9,481.36/x
  3. Step 3: Cross multiply
    13,653.76x = 20,445 × 9,481.36
  4. Step 4: Simplify right side
    13,653.76x = 193,846,405.20
  5. Step 5: Solve for x
    x = 193,846,405.20/13,653.76
  6. Step 6: Final answer
    x = 14,197.29

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1.5x scale

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.