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Finding the Fourth Proportional to 53.85, 81.26 and 51.94

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Solution

The fourth proportional to 53.85, 81.26 and 51.94 is: 78.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.85 : 81.26 = 51.94 : x
  2. Step 2: Convert to fraction form
    53.85/81.26 = 51.94/x
  3. Step 3: Cross multiply
    53.85x = 81.26 × 51.94
  4. Step 4: Simplify right side
    53.85x = 4,220.38
  5. Step 5: Solve for x
    x = 4,220.38/53.85
  6. Step 6: Final answer
    x = 78.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.