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Finding the Fourth Proportional to 19.80, 27.45 and 19.56

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Solution

The fourth proportional to 19.80, 27.45 and 19.56 is: 27.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.80 : 27.45 = 19.56 : x
  2. Step 2: Convert to fraction form
    19.80/27.45 = 19.56/x
  3. Step 3: Cross multiply
    19.80x = 27.45 × 19.56
  4. Step 4: Simplify right side
    19.80x = 536.92
  5. Step 5: Solve for x
    x = 536.92/19.80
  6. Step 6: Final answer
    x = 27.12

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.