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Finding the Fourth Proportional to 54.50, 75.53 and 51.84

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Solution

The fourth proportional to 54.50, 75.53 and 51.84 is: 71.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.50 : 75.53 = 51.84 : x
  2. Step 2: Convert to fraction form
    54.50/75.53 = 51.84/x
  3. Step 3: Cross multiply
    54.50x = 75.53 × 51.84
  4. Step 4: Simplify right side
    54.50x = 3,915.22
  5. Step 5: Solve for x
    x = 3,915.22/54.50
  6. Step 6: Final answer
    x = 71.85

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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.