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Finding the Fourth Proportional to 13,720, 20,478.44 and 13,388.56

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Solution

The fourth proportional to 13,720, 20,478.44 and 13,388.56 is: 19,983.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,720 : 20,478.44 = 13,388.56 : x
  2. Step 2: Convert to fraction form
    13,720/20,478.44 = 13,388.56/x
  3. Step 3: Cross multiply
    13,720x = 20,478.44 × 13,388.56
  4. Step 4: Simplify right side
    13,720x = 274,176,822.65
  5. Step 5: Solve for x
    x = 274,176,822.65/13,720
  6. Step 6: Final answer
    x = 19,983.73

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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.