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Finding the Fourth Proportional to 37.12, 51 and 34.48

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Solution

The fourth proportional to 37.12, 51 and 34.48 is: 47.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.12 : 51 = 34.48 : x
  2. Step 2: Convert to fraction form
    37.12/51 = 34.48/x
  3. Step 3: Cross multiply
    37.12x = 51 × 34.48
  4. Step 4: Simplify right side
    37.12x = 1,758.48
  5. Step 5: Solve for x
    x = 1,758.48/37.12
  6. Step 6: Final answer
    x = 47.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.