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Finding the Fourth Proportional to 13,709.75, 20,447.66 and 13,472.82

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Solution

The fourth proportional to 13,709.75, 20,447.66 and 13,472.82 is: 20,094.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.75 : 20,447.66 = 13,472.82 : x
  2. Step 2: Convert to fraction form
    13,709.75/20,447.66 = 13,472.82/x
  3. Step 3: Cross multiply
    13,709.75x = 20,447.66 × 13,472.82
  4. Step 4: Simplify right side
    13,709.75x = 275,487,575.24
  5. Step 5: Solve for x
    x = 275,487,575.24/13,709.75
  6. Step 6: Final answer
    x = 20,094.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.