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Finding the Fourth Proportional to 28.75, 39.70 and 19.57

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Solution

The fourth proportional to 28.75, 39.70 and 19.57 is: 27.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.75 : 39.70 = 19.57 : x
  2. Step 2: Convert to fraction form
    28.75/39.70 = 19.57/x
  3. Step 3: Cross multiply
    28.75x = 39.70 × 19.57
  4. Step 4: Simplify right side
    28.75x = 776.73
  5. Step 5: Solve for x
    x = 776.73/28.75
  6. Step 6: Final answer
    x = 27.02

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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.