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Finding the Fourth Proportional to 51.78, 71.43 and 35.19

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Solution

The fourth proportional to 51.78, 71.43 and 35.19 is: 48.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.78 : 71.43 = 35.19 : x
  2. Step 2: Convert to fraction form
    51.78/71.43 = 35.19/x
  3. Step 3: Cross multiply
    51.78x = 71.43 × 35.19
  4. Step 4: Simplify right side
    51.78x = 2,513.62
  5. Step 5: Solve for x
    x = 2,513.62/51.78
  6. Step 6: Final answer
    x = 48.54

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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.