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Finding the Fourth Proportional to 19,765.87, 27,230.72 and 13,786.85

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Solution

The fourth proportional to 19,765.87, 27,230.72 and 13,786.85 is: 18,993.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,765.87 : 27,230.72 = 13,786.85 : x
  2. Step 2: Convert to fraction form
    19,765.87/27,230.72 = 13,786.85/x
  3. Step 3: Cross multiply
    19,765.87x = 27,230.72 × 13,786.85
  4. Step 4: Simplify right side
    19,765.87x = 375,425,851.17
  5. Step 5: Solve for x
    x = 375,425,851.17/19,765.87
  6. Step 6: Final answer
    x = 18,993.64

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1.5x scale

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.